Initial Commit and Notes from HS24

hs24/technische_mechanik/disclaimer.tex

@@ -0,0 +1,12 @@
+\section*{DISCLAIMER}
+
+Diese Notizen wurden verfasst auf Basis der Vorlesung Technische Mechanik (HS24) von Prof. Dr. P. Tiso, dem Skript Technische Mechanik von Prof. Dr. S. Kaufmann, sowie dem PVK Skrip von L. de Windt.
+\\
+\\
+Ich übernehme keine Haftung über mögliche Fehler in den Notizen (Es hat sicherlich ein paar drinnen, da ich teils Sätze umformuliert habe und meine Persönliche Notizen beigefügt habe!).
+\\
+\\
+Falls nicht anders deklariert wurden alle Grafiken eigenhändig mit Manim \cite{MCD2024} generiert.
+\\
+\\
+Fehler können per Mail an \href{mailto:jirruh@ethz.ch}{jirruh@ethz.ch} gemeldet werden.

hs24/technische_mechanik/dynamik/beschleunigung.tex

@@ -0,0 +1,28 @@
+\section{Beschleunigung}
+
+\dfn{Beschleunigung}{
+	Die Beschleunigung gibt an, wie schnell sich die Geschwindigkeit eines Körpers sich ändert. \cite{Windt2023} Sie ist definiert als die Ableitung der Geschwindigkeit nach der Zeit $t$.
+
+	\begin{equation}
+		\vec{a}(t) = \dot{\vec{v}}(t) = \ddot{\vec{r}}(t)
+	\end{equation}
+}
+
+\subsection*{Karthesische Koordinaten}
+
+\begin{equation}
+	\vec{a} = \ddot{x} \cdot \vec{e}_x + \ddot{y} \cdot \vec{e}_y + \ddot{z} \cdot \vec{e}_z
+\end{equation}
+
+
+\subsection*{Zylindrischen Koordinaten}
+
+\begin{equation}
+	\vec{a} = (\ddot{\rho} - \rho \cdot \dot{\varphi}^2) \cdot \vec{e}_{\rho} + (\rho \cdot \ddot{\varphi} + 2 \cdot \dot{\rho} \cdot \dot{\varphi}) \cdot \vec{e}_{\varphi} + \ddot{z} \cdot \vec{e}_z
+\end{equation}
+
+\subsection*{Polar Koordinaten}
+
+\begin{equation}
+	\vec{a} = (\ddot{\rho} - \rho \cdot \dot{\varphi}^2) \cdot \vec{e}_{\rho} + (\rho \cdot \ddot{\varphi} + 2 \cdot \dot{\rho} \cdot \dot{\varphi}) \cdot \vec{e}_{\varphi}
+\end{equation}

hs24/technische_mechanik/dynamik/drall_drallsatz.tex

@@ -0,0 +1,63 @@
+\section{Drall und Drallstatz}
+
+\dfn{Drall}{
+	Der Drall ist eine physikalische Grösse, welche den Bewegungszustand eines rotierenden starren Körpers bestimmt. Den Drall kann man bezüglich eines inertialen Punktes (das heisst ein Punkt in Ruhe) oder bezüglich des Massenmittelpunktes bestimmen. \cite{Windt2023}
+
+	\begin{minipage}{0.4\linewidth}
+		Bezüglich inertialer Punkt O:
+
+		\begin{equation}
+			\vec{L}_O = \iiint_B \vec{r} \times \vec{v} d m
+		\end{equation}
+
+		Bezüglich Massenmittelpunkt C:
+
+		\begin{equation}
+			\vec{L}_C = \iiint_B \vec{r}' \times \vec{v}' d m
+		\end{equation}
+
+	\end{minipage}
+	\begin{minipage}{0.6\linewidth}
+		\includegraphics[width=\textwidth]{fig/Fig_45.png}
+	\end{minipage}
+}
+
+\subsection*{Satz von Steiner}
+
+Wie beim Moment gibt es für den Drall eine Transformationsregele zwischen verschiedenen Punkten.
+
+\begin{equation}
+	\vec{L}_O = \vec{r}_C \times \vec{p} + \vec{L}_C
+\end{equation}
+
+\dfn{Drallstatz}{
+	Der Drallstatz ist ein physikalisches Gesetz, welches besagt, dass zur Änderung des Drehimpulses eines Körpers ein Drehmoment an ihm aufgebracht werden muss.
+	\\
+	Drallstatz bezüglich des inertialen Punktes $O$:
+	\begin{equation}
+		\vec{L}_O = I_O \cdot \omega
+	\end{equation}
+
+	Deallsatz bezüglich des Messenmittelpunktes $C$:
+
+	\begin{equation}
+		\vec{L}_C = I_C \cdot \omega
+	\end{equation}
+}
+
+\nt{
+	Durch die Ableitung des Dralls erhält man das Moment.
+
+	bezüglich O:
+
+	\begin{equation}
+		\dot{\vec{L}}_O = \vec{M}_O ^{tot}
+	\end{equation}
+
+	bezüglich C:
+
+	\begin{equation}
+		\dot{\vec{L}}_C = \vec{M}_C ^{tot}
+	\end{equation}
+}
+

hs24/technische_mechanik/dynamik/dynamik.tex

@@ -0,0 +1,8 @@
+\chapter{Dynamik}
+
+\input{beschleunigung.tex}
+\input{kinematische_relationen.tex}
+\input{feder.tex}
+\input{impuls.tex}
+\input{drall_drallsatz.tex}
+\input{massentraegheitsmoment.tex}

hs24/technische_mechanik/dynamik/feder.tex

@@ -0,0 +1,19 @@
+\section{Feder}
+
+\dfn{Feder}{
+	Eine Feder ist ein Bauteil, welches eine entgegengesetzte Kraft ausübt, da sie in ihre ursprüngliche Lage zurück will. Diese Kraft kann durch das Hooksche Gesetz bestimmt werden.
+
+	\begin{minipage}{0.7\linewidth}
+		\includegraphics[width=\textwidth]{fig/Fig_44.png}
+	\end{minipage}
+	\begin{minipage}{0.3\linewidth}
+		\begin{equation}
+			F_{\text{Feder}} = \pm k \cdot \Delta x
+		\end{equation}
+	\end{minipage}
+}
+
+\nt{
+	Federn verringern den Freiheitsgrad eines Systems nicht. \cite{Windt2023}
+}
+

hs24/technische_mechanik/dynamik/impuls.tex

@@ -0,0 +1,20 @@
+\section{Impuls}
+
+\dfn{Impuls}{
+	Der Impuls beschreibt den Bewegungszustand eines Körpers. Sie ist definiert durch die folgende Formel.
+
+	\begin{equation}
+		\vec{p} = m \cdot \vec{v}
+	\end{equation}
+}
+
+Durch die Ableitung vom Impuls durch die Zeit $t$ erhält man die resultierende Kraft, welche auf den Körper wirkt. Falls die Masse konstant ist, so gilt folgendes.
+
+\begin{equation}
+	\dot{\vec{p}} = m \cdot \dot{\vec{c}} = m \cdot \vec{a} = \vec{R}
+\end{equation}
+
+\nt{
+	Durch den Impuls können wir nun das Bewegungsgesetz, sowie den Massemittelpunktsatz bilden. Diese beschreiben die Bewegung eines Starrkörpers.
+}
+

hs24/technische_mechanik/dynamik/kinematische_relationen.tex

@@ -0,0 +1,12 @@
+\section{Kinematische Relationen}
+
+Kinematische Relationen kennzeichnen meistens, dass eine Koordinate mit einer anderen Koordinate abhängt. Dies ist meistens der Fall bei Rollen.
+
+\begin{minipage}{0.5\linewidth}
+	\includegraphics[width=\textwidth]{fig/Fig_43.png}
+\end{minipage}
+\begin{minipage}{0.5\linewidth}
+	\begin{equation}
+		x = R \cdot \varphi
+	\end{equation}
+\end{minipage}

hs24/technische_mechanik/dynamik/massentraegheitsmoment.tex

@@ -0,0 +1,21 @@
+\section{Massenträgheitsmoment}
+
+\dfn{Massenträgheitsmoment}{
+	Das Massenträgheitsmoment gibt die Trägheit eines starren Körpers gegenüber einer Änderung seiner Rotationsgeschwindigkeit bei der Drehung um eine gegebene Achse an. \cite{Windt2023}
+	\\
+	bezüglich O:
+	\begin{equation}
+		I_O = \iint_B r ^2 dm
+	\end{equation}
+
+	bezüglich C:
+	\begin{equation}
+		I_C = \iint_B r^{\prime2} dm
+	\end{equation}
+}
+
+Wie beim Moment und Drall gibt es eine Transformationsregel für den Massenträgheitsmoment.
+
+\begin{equation}
+	I_O = m \cdot r_{OC} ^2 + I_C
+\end{equation}

hs24/technische_mechanik/graphs/media/Tex/009c14a015454cd2.svg

@@ -0,0 +1,14 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='12.398006pt' height='11.130458pt' viewBox='165.407478 -13.222664 12.398006 11.130458'>
+<defs>
+<path id='g1-65' d='M1.436613-.836862C1.192528-.460274 .969365-.278954 .557908-.251059C.488169-.244085 .397509-.244085 .397509-.104608C.397509-.027895 .460274 0 .495143 0C.676463 0 .9066-.027895 1.094894-.027895C1.318057-.027895 1.603985 0 1.8132 0C1.84807 0 1.952677 0 1.952677-.153425C1.952677-.244085 1.862017-.251059 1.834122-.251059C1.778331-.258032 1.527273-.27198 1.527273-.460274C1.527273-.54396 1.597011-.662516 1.63188-.72528L2.189788-1.590037H4.184309L4.351681-.432379C4.323786-.36264 4.281943-.251059 3.870486-.251059C3.7868-.251059 3.689166-.251059 3.689166-.097634C3.689166-.069738 3.710087 0 3.800747 0C4.002989 0 4.498132-.027895 4.700374-.027895C4.825903-.027895 4.986301-.020922 5.111831-.020922C5.23736-.013948 5.383811 0 5.50934 0C5.6 0 5.648817-.055791 5.648817-.146451C5.648817-.251059 5.565131-.251059 5.453549-.251059C5.049066-.251059 5.035118-.306849 5.014197-.474222L4.400498-4.777086C4.379577-4.923537 4.365629-4.972354 4.233126-4.972354S4.05878-4.909589 3.996015-4.811955L1.436613-.836862ZM2.357161-1.841096L3.821669-4.121544L4.14944-1.841096H2.357161Z'/>
+<path id='g0-70' d='M3.01868-3.237858H3.985056C4.732254-3.237858 4.811955-3.078456 4.811955-2.789539C4.811955-2.719801 4.811955-2.600249 4.742217-2.30137C4.722291-2.251557 4.712329-2.211706 4.712329-2.191781C4.712329-2.11208 4.772105-2.072229 4.83188-2.072229C4.931507-2.072229 4.931507-2.102117 4.98132-2.281445L5.529265-4.443337C5.559153-4.552927 5.559153-4.572852 5.559153-4.60274C5.559153-4.622665 5.539228-4.712329 5.439601-4.712329S5.330012-4.662516 5.290162-4.503113C5.080946-3.726027 4.851806-3.5467 4.004981-3.5467H3.098381L3.73599-6.07721C3.825654-6.425903 3.835616-6.465753 4.273973-6.465753H5.589041C6.814446-6.465753 7.043587-6.136986 7.043587-5.369863C7.043587-5.140722 7.043587-5.100872 7.013699-4.83188C6.993773-4.702366 6.993773-4.682441 6.993773-4.652553C6.993773-4.60274 7.023661-4.533001 7.113325-4.533001C7.222914-4.533001 7.232877-4.592777 7.252802-4.782067L7.452055-6.505604C7.481943-6.774595 7.43213-6.774595 7.183064-6.774595H2.30137C2.102117-6.774595 2.002491-6.774595 2.002491-6.575342C2.002491-6.465753 2.092154-6.465753 2.281445-6.465753C2.650062-6.465753 2.929016-6.465753 2.929016-6.286426C2.929016-6.246575 2.929016-6.22665 2.879203-6.047323L1.564134-.777086C1.464508-.388543 1.444583-.308842 .657534-.308842C.488169-.308842 .37858-.308842 .37858-.119552C.37858 0 .498132 0 .52802 0C.816936 0 1.554172-.029888 1.843088-.029888C2.171856-.029888 2.998755 0 3.327522 0C3.417186 0 3.536737 0 3.536737-.18929C3.536737-.268991 3.476961-.288917 3.476961-.298879C3.447073-.308842 3.427148-.308842 3.198007-.308842C2.978829-.308842 2.929016-.308842 2.67995-.328767C2.391034-.358655 2.361146-.398506 2.361146-.52802C2.361146-.547945 2.361146-.607721 2.400996-.757161L3.01868-3.237858Z'/>
+<path id='g0-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='168.598651' y='-6.104914' xlink:href='#g0-126'/>
+<use x='165.407478' y='-3.586587' xlink:href='#g0-70'/>
+<use x='171.814022' y='-2.092206' xlink:href='#g1-65'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/009c14a015454cd2.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\vec{F_A}
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/03dccbe239406b0a.svg

@@ -0,0 +1,12 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='9.214877pt' height='8.302176pt' viewBox='166.999044 -10.394382 9.214877 8.302176'>
+<defs>
+<path id='g1-105' d='M2.259527-4.358655C2.259527-4.470237 2.175841-4.623661 1.980573-4.623661C1.792279-4.623661 1.590037-4.442341 1.590037-4.2401C1.590037-4.121544 1.680697-3.975093 1.868991-3.975093C2.071233-3.975093 2.259527-4.170361 2.259527-4.358655ZM.836862-.81594C.808966-.72528 .774097-.641594 .774097-.523039C.774097-.195268 1.053051 .069738 1.436613 .069738C2.133998 .069738 2.440847-.892653 2.440847-.99726C2.440847-1.08792 2.350187-1.08792 2.329265-1.08792C2.231631-1.08792 2.224658-1.046077 2.196762-.969365C2.036364-.411457 1.729514-.125529 1.457534-.125529C1.318057-.125529 1.283188-.216189 1.283188-.369614C1.283188-.530012 1.332005-.662516 1.39477-.81594C1.464508-1.004234 1.54122-1.192528 1.617933-1.373848C1.680697-1.54122 1.931756-2.175841 1.959651-2.259527C1.980573-2.329265 2.001494-2.412951 2.001494-2.48269C2.001494-2.810461 1.72254-3.075467 1.338979-3.075467C.648568-3.075467 .327771-2.127024 .327771-2.008468C.327771-1.917808 .425405-1.917808 .446326-1.917808C.54396-1.917808 .550934-1.952677 .571856-2.02939C.753176-2.629141 1.060025-2.880199 1.318057-2.880199C1.429639-2.880199 1.492403-2.824408 1.492403-2.636115C1.492403-2.475716 1.45056-2.371108 1.276214-1.93873L.836862-.81594Z'/>
+<path id='g0-80' d='M3.01868-3.148194H4.712329C6.127024-3.148194 7.511831-4.184309 7.511831-5.300125C7.511831-6.067248 6.854296-6.804483 5.549191-6.804483H2.321295C2.132005-6.804483 2.022416-6.804483 2.022416-6.615193C2.022416-6.495641 2.11208-6.495641 2.311333-6.495641C2.440847-6.495641 2.620174-6.485679 2.739726-6.475716C2.899128-6.455791 2.958904-6.425903 2.958904-6.316314C2.958904-6.276463 2.948941-6.246575 2.919054-6.127024L1.58406-.777086C1.484433-.388543 1.464508-.308842 .67746-.308842C.508095-.308842 .398506-.308842 .398506-.119552C.398506 0 .518057 0 .547945 0C.826899 0 1.534247-.029888 1.8132-.029888C2.022416-.029888 2.241594-.019925 2.450809-.019925C2.669988-.019925 2.889166 0 3.098381 0C3.16812 0 3.297634 0 3.297634-.199253C3.297634-.308842 3.20797-.308842 3.01868-.308842C2.650062-.308842 2.371108-.308842 2.371108-.488169C2.371108-.547945 2.391034-.597758 2.400996-.657534L3.01868-3.148194ZM3.73599-6.117061C3.825654-6.465753 3.845579-6.495641 4.273973-6.495641H5.230386C6.057285-6.495641 6.585305-6.22665 6.585305-5.539228C6.585305-5.150685 6.386052-4.293898 5.997509-3.935243C5.499377-3.486924 4.901619-3.407223 4.463263-3.407223H3.058531L3.73599-6.117061Z'/>
+</defs>
+<g id='page1'>
+<use x='166.999044' y='-3.586587' xlink:href='#g0-80'/>
+<use x='173.395193' y='-2.092206' xlink:href='#g1-105'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/03dccbe239406b0a.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+P_i
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/05639836c531ca82.svg

@@ -0,0 +1,10 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='9.962669pt' height='2.328761pt' viewBox='166.874206 -7.241627 9.962669 2.328761'>
+<defs>
+<path id='g0-41' d='M7.232877-3.257783C7.651308-2.899128 8.159402-2.6401 8.488169-2.49066C8.129514-2.331258 7.641345-2.072229 7.232877-1.723537H.9066C.737235-1.723537 .547945-1.723537 .547945-1.524284S.727273-1.325031 .896638-1.325031H6.784558C6.306351-.86675 5.788294 .009963 5.788294 .139477C5.788294 .249066 5.917808 .249066 5.977584 .249066C6.057285 .249066 6.127024 .249066 6.166874 .169365C6.37609-.209215 6.655044-.737235 7.302615-1.315068C7.990037-1.92279 8.657534-2.191781 9.175592-2.34122C9.344956-2.400996 9.354919-2.410959 9.374844-2.430884C9.39477-2.440847 9.39477-2.470735 9.39477-2.49066S9.39477-2.530511 9.384807-2.550436L9.354919-2.570361C9.334994-2.580324 9.325031-2.590286 9.135741-2.650062C7.790785-3.048568 6.794521-3.955168 6.236613-5.021171C6.127024-5.220423 6.117061-5.230386 5.977584-5.230386C5.917808-5.230386 5.788294-5.230386 5.788294-5.120797C5.788294-4.991283 6.296389-4.124533 6.784558-3.656289H.896638C.727273-3.656289 .547945-3.656289 .547945-3.457036S.737235-3.257783 .9066-3.257783H7.232877Z'/>
+</defs>
+<g id='page1'>
+<use x='166.874206' y='-3.586587' xlink:href='#g0-41'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/05639836c531ca82.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\Rightarrow
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/0db5f871126288c8.svg

@@ -0,0 +1,22 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='46.822921pt' height='11.130458pt' viewBox='148.195032 -13.222664 46.822921 11.130458'>
+<defs>
+<path id='g0-1' d='M1.912827-2.49066C1.912827-2.779577 1.673724-3.01868 1.384807-3.01868S.856787-2.779577 .856787-2.49066S1.09589-1.96264 1.384807-1.96264S1.912827-2.201743 1.912827-2.49066Z'/>
+<path id='g3-61' d='M6.844334-3.257783C6.993773-3.257783 7.183064-3.257783 7.183064-3.457036S6.993773-3.656289 6.854296-3.656289H.886675C.747198-3.656289 .557908-3.656289 .557908-3.457036S.747198-3.257783 .896638-3.257783H6.844334ZM6.854296-1.325031C6.993773-1.325031 7.183064-1.325031 7.183064-1.524284S6.993773-1.723537 6.844334-1.723537H.896638C.747198-1.723537 .557908-1.723537 .557908-1.524284S.747198-1.325031 .886675-1.325031H6.854296Z'/>
+<path id='g2-70' d='M2.385056-2.245579H3.131258C3.66127-2.245579 3.75193-2.161893 3.75193-1.931756C3.75193-1.827148 3.75193-1.8132 3.703113-1.617933C3.689166-1.57609 3.682192-1.555168 3.682192-1.534247C3.682192-1.464508 3.731009-1.429639 3.800747-1.429639C3.891407-1.429639 3.898381-1.464508 3.93325-1.590037L4.309838-3.068493C4.316812-3.089415 4.337733-3.194022 4.337733-3.20797C4.337733-3.277709 4.288917-3.312578 4.219178-3.312578C4.121544-3.312578 4.11457-3.270735 4.079701-3.145205C3.940224-2.601245 3.737983-2.496638 3.145205-2.496638H2.447821L2.887173-4.247073C2.942964-4.463263 2.949938-4.484184 3.242839-4.484184H4.309838C5.23736-4.484184 5.411706-4.261021 5.411706-3.682192C5.411706-3.452055 5.383811-3.305604 5.383811-3.249813S5.404732-3.131258 5.502366-3.131258C5.606974-3.131258 5.613948-3.194022 5.627895-3.312578L5.753425-4.526027C5.774346-4.735243 5.725529-4.735243 5.551183-4.735243H1.827148C1.694645-4.735243 1.603985-4.735243 1.603985-4.581818C1.603985-4.484184 1.687671-4.484184 1.827148-4.484184C1.834122-4.484184 1.966625-4.484184 2.092154-4.470237C2.238605-4.456289 2.252553-4.442341 2.252553-4.372603C2.252553-4.323786 2.231631-4.254047 2.224658-4.219178L1.311083-.571856C1.241345-.299875 1.234371-.251059 .690411-.251059C.571856-.251059 .481196-.251059 .481196-.104608C.481196-.034869 .530012 0 .592777 0C.795019 0 1.311083-.027895 1.513325-.027895L2.050311-.020922C2.231631-.020922 2.426899 0 2.601245 0C2.650062 0 2.75467 0 2.75467-.153425C2.75467-.251059 2.670984-.251059 2.510585-.251059C2.496638-.251059 2.322291-.251059 2.147945-.265006C2.001494-.278954 1.931756-.285928 1.931756-.383562C1.931756-.411457 1.931756-.432379 1.952677-.509091L2.385056-2.245579Z'/>
+<path id='g1-70' d='M3.01868-3.237858H3.985056C4.732254-3.237858 4.811955-3.078456 4.811955-2.789539C4.811955-2.719801 4.811955-2.600249 4.742217-2.30137C4.722291-2.251557 4.712329-2.211706 4.712329-2.191781C4.712329-2.11208 4.772105-2.072229 4.83188-2.072229C4.931507-2.072229 4.931507-2.102117 4.98132-2.281445L5.529265-4.443337C5.559153-4.552927 5.559153-4.572852 5.559153-4.60274C5.559153-4.622665 5.539228-4.712329 5.439601-4.712329S5.330012-4.662516 5.290162-4.503113C5.080946-3.726027 4.851806-3.5467 4.004981-3.5467H3.098381L3.73599-6.07721C3.825654-6.425903 3.835616-6.465753 4.273973-6.465753H5.589041C6.814446-6.465753 7.043587-6.136986 7.043587-5.369863C7.043587-5.140722 7.043587-5.100872 7.013699-4.83188C6.993773-4.702366 6.993773-4.682441 6.993773-4.652553C6.993773-4.60274 7.023661-4.533001 7.113325-4.533001C7.222914-4.533001 7.232877-4.592777 7.252802-4.782067L7.452055-6.505604C7.481943-6.774595 7.43213-6.774595 7.183064-6.774595H2.30137C2.102117-6.774595 2.002491-6.774595 2.002491-6.575342C2.002491-6.465753 2.092154-6.465753 2.281445-6.465753C2.650062-6.465753 2.929016-6.465753 2.929016-6.286426C2.929016-6.246575 2.929016-6.22665 2.879203-6.047323L1.564134-.777086C1.464508-.388543 1.444583-.308842 .657534-.308842C.488169-.308842 .37858-.308842 .37858-.119552C.37858 0 .498132 0 .52802 0C.816936 0 1.554172-.029888 1.843088-.029888C2.171856-.029888 2.998755 0 3.327522 0C3.417186 0 3.536737 0 3.536737-.18929C3.536737-.268991 3.476961-.288917 3.476961-.298879C3.447073-.308842 3.427148-.308842 3.198007-.308842C2.978829-.308842 2.929016-.308842 2.67995-.328767C2.391034-.358655 2.361146-.398506 2.361146-.52802C2.361146-.547945 2.361146-.607721 2.400996-.757161L3.01868-3.237858Z'/>
+<path id='g1-101' d='M1.863014-2.30137C2.15193-2.30137 2.889166-2.321295 3.387298-2.530511C4.084682-2.82939 4.134496-3.417186 4.134496-3.556663C4.134496-3.995019 3.755915-4.403487 3.068493-4.403487C1.96264-4.403487 .458281-3.437111 .458281-1.693649C.458281-.67746 1.046077 .109589 2.022416 .109589C3.447073 .109589 4.283935-.946451 4.283935-1.066002C4.283935-1.125778 4.224159-1.195517 4.164384-1.195517C4.11457-1.195517 4.094645-1.175592 4.034869-1.09589C3.247821-.109589 2.161893-.109589 2.042341-.109589C1.265255-.109589 1.175592-.946451 1.175592-1.265255C1.175592-1.384807 1.185554-1.693649 1.334994-2.30137H1.863014ZM1.39477-2.520548C1.783313-4.034869 2.809465-4.184309 3.068493-4.184309C3.536737-4.184309 3.805729-3.895392 3.805729-3.556663C3.805729-2.520548 2.211706-2.520548 1.803238-2.520548H1.39477Z'/>
+<path id='g1-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='149.663524' y='-6.104914' xlink:href='#g1-126'/>
+<use x='148.195032' y='-3.586587' xlink:href='#g1-70'/>
+<use x='158.752609' y='-3.586587' xlink:href='#g3-61'/>
+<use x='169.268689' y='-3.586587' xlink:href='#g1-70'/>
+<use x='179.272811' y='-3.586587' xlink:href='#g0-1'/>
+<use x='183.870134' y='-3.586587' xlink:href='#g1-126'/>
+<use x='184.254085' y='-3.586587' xlink:href='#g1-101'/>
+<use x='188.892956' y='-2.092206' xlink:href='#g2-70'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/0db5f871126288c8.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\vec{F} = F \cdot \vec{e}_F
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/1b2635b21d7cbcca.svg

@@ -0,0 +1,27 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='54.449651pt' height='9.96264pt' viewBox='144.63073 -11.058567 54.449651 9.96264'>
+<defs>
+<path id='g2-40' d='M3.297634 2.391034C3.297634 2.361146 3.297634 2.34122 3.128269 2.171856C1.882939 .916563 1.564134-.966376 1.564134-2.49066C1.564134-4.224159 1.942715-5.957659 3.16812-7.202989C3.297634-7.32254 3.297634-7.342466 3.297634-7.372354C3.297634-7.442092 3.257783-7.47198 3.198007-7.47198C3.098381-7.47198 2.201743-6.794521 1.613948-5.529265C1.105853-4.433375 .986301-3.327522 .986301-2.49066C.986301-1.713574 1.09589-.508095 1.643836 .617684C2.241594 1.843088 3.098381 2.49066 3.198007 2.49066C3.257783 2.49066 3.297634 2.460772 3.297634 2.391034Z'/>
+<path id='g2-41' d='M2.879203-2.49066C2.879203-3.267746 2.769614-4.473225 2.221669-5.599004C1.62391-6.824408 .767123-7.47198 .667497-7.47198C.607721-7.47198 .56787-7.43213 .56787-7.372354C.56787-7.342466 .56787-7.32254 .757161-7.143213C1.733499-6.156912 2.30137-4.572852 2.30137-2.49066C2.30137-.787049 1.932752 .966376 .697385 2.221669C.56787 2.34122 .56787 2.361146 .56787 2.391034C.56787 2.450809 .607721 2.49066 .667497 2.49066C.767123 2.49066 1.663761 1.8132 2.251557 .547945C2.759651-.547945 2.879203-1.653798 2.879203-2.49066Z'/>
+<path id='g2-99' d='M1.165629-2.171856C1.165629-3.795766 1.982565-4.214197 2.510585-4.214197C2.600249-4.214197 3.227895-4.204234 3.576588-3.845579C3.16812-3.815691 3.108344-3.516812 3.108344-3.387298C3.108344-3.128269 3.287671-2.929016 3.566625-2.929016C3.825654-2.929016 4.024907-3.098381 4.024907-3.39726C4.024907-4.07472 3.267746-4.463263 2.500623-4.463263C1.255293-4.463263 .33873-3.387298 .33873-2.15193C.33873-.876712 1.325031 .109589 2.480697 .109589C3.815691 .109589 4.134496-1.085928 4.134496-1.185554S4.034869-1.285181 4.004981-1.285181C3.915318-1.285181 3.895392-1.24533 3.875467-1.185554C3.58655-.259029 2.938979-.139477 2.570361-.139477C2.042341-.139477 1.165629-.56787 1.165629-2.171856Z'/>
+<path id='g2-111' d='M4.692403-2.132005C4.692403-3.407223 3.696139-4.463263 2.49066-4.463263C1.24533-4.463263 .278954-3.377335 .278954-2.132005C.278954-.846824 1.315068 .109589 2.480697 .109589C3.686177 .109589 4.692403-.86675 4.692403-2.132005ZM2.49066-.139477C2.062267-.139477 1.62391-.348692 1.354919-.806974C1.105853-1.24533 1.105853-1.853051 1.105853-2.211706C1.105853-2.600249 1.105853-3.138232 1.344956-3.576588C1.613948-4.034869 2.082192-4.244085 2.480697-4.244085C2.919054-4.244085 3.347447-4.024907 3.606476-3.596513S3.865504-2.590286 3.865504-2.211706C3.865504-1.853051 3.865504-1.315068 3.646326-.876712C3.427148-.428394 2.988792-.139477 2.49066-.139477Z'/>
+<path id='g2-115' d='M2.072229-1.932752C2.291407-1.892902 3.108344-1.733499 3.108344-1.016189C3.108344-.508095 2.759651-.109589 1.982565-.109589C1.145704-.109589 .787049-.67746 .597758-1.524284C.56787-1.653798 .557908-1.693649 .458281-1.693649C.328767-1.693649 .328767-1.62391 .328767-1.444583V-.129514C.328767 .039851 .328767 .109589 .438356 .109589C.488169 .109589 .498132 .099626 .687422-.089664C.707347-.109589 .707347-.129514 .886675-.318804C1.325031 .099626 1.77335 .109589 1.982565 .109589C3.128269 .109589 3.58655-.557908 3.58655-1.275218C3.58655-1.803238 3.287671-2.102117 3.16812-2.221669C2.839352-2.540473 2.450809-2.620174 2.032379-2.699875C1.474471-2.809465 .806974-2.938979 .806974-3.516812C.806974-3.865504 1.066002-4.273973 1.92279-4.273973C3.01868-4.273973 3.068493-3.377335 3.088418-3.068493C3.098381-2.978829 3.188045-2.978829 3.20797-2.978829C3.337484-2.978829 3.337484-3.028643 3.337484-3.217933V-4.224159C3.337484-4.393524 3.337484-4.463263 3.227895-4.463263C3.178082-4.463263 3.158157-4.463263 3.028643-4.343711C2.998755-4.303861 2.899128-4.214197 2.859278-4.184309C2.480697-4.463263 2.072229-4.463263 1.92279-4.463263C.707347-4.463263 .328767-3.795766 .328767-3.237858C.328767-2.889166 .488169-2.610212 .757161-2.391034C1.075965-2.132005 1.354919-2.072229 2.072229-1.932752Z'/>
+<path id='g0-1' d='M1.912827-2.49066C1.912827-2.779577 1.673724-3.01868 1.384807-3.01868S.856787-2.779577 .856787-2.49066S1.09589-1.96264 1.384807-1.96264S1.912827-2.201743 1.912827-2.49066Z'/>
+<path id='g1-11' d='M4.752179-2.351183C4.752179-3.915318 3.825654-4.403487 3.088418-4.403487C1.723537-4.403487 .408468-2.978829 .408468-1.574097C.408468-.647572 1.006227 .109589 2.022416 .109589C2.650062 .109589 3.367372-.119552 4.124533-.727273C4.254047-.199253 4.582814 .109589 5.031133 .109589C5.559153 .109589 5.867995-.438356 5.867995-.597758C5.867995-.667497 5.808219-.697385 5.748443-.697385C5.678705-.697385 5.648817-.667497 5.618929-.597758C5.439601-.109589 5.080946-.109589 5.061021-.109589C4.752179-.109589 4.752179-.886675 4.752179-1.125778C4.752179-1.334994 4.752179-1.354919 4.851806-1.474471C5.788294-2.650062 5.997509-3.805729 5.997509-3.815691C5.997509-3.835616 5.987547-3.915318 5.877958-3.915318C5.778331-3.915318 5.778331-3.88543 5.728518-3.706102C5.549191-3.078456 5.220423-2.321295 4.752179-1.733499V-2.351183ZM4.084682-.986301C3.20797-.219178 2.440847-.109589 2.042341-.109589C1.444583-.109589 1.145704-.557908 1.145704-1.195517C1.145704-1.683686 1.404732-2.759651 1.723537-3.267746C2.191781-3.995019 2.729763-4.184309 3.078456-4.184309C4.064757-4.184309 4.064757-2.879203 4.064757-2.102117C4.064757-1.733499 4.064757-1.155666 4.084682-.986301Z'/>
+<path id='g1-70' d='M3.01868-3.237858H3.985056C4.732254-3.237858 4.811955-3.078456 4.811955-2.789539C4.811955-2.719801 4.811955-2.600249 4.742217-2.30137C4.722291-2.251557 4.712329-2.211706 4.712329-2.191781C4.712329-2.11208 4.772105-2.072229 4.83188-2.072229C4.931507-2.072229 4.931507-2.102117 4.98132-2.281445L5.529265-4.443337C5.559153-4.552927 5.559153-4.572852 5.559153-4.60274C5.559153-4.622665 5.539228-4.712329 5.439601-4.712329S5.330012-4.662516 5.290162-4.503113C5.080946-3.726027 4.851806-3.5467 4.004981-3.5467H3.098381L3.73599-6.07721C3.825654-6.425903 3.835616-6.465753 4.273973-6.465753H5.589041C6.814446-6.465753 7.043587-6.136986 7.043587-5.369863C7.043587-5.140722 7.043587-5.100872 7.013699-4.83188C6.993773-4.702366 6.993773-4.682441 6.993773-4.652553C6.993773-4.60274 7.023661-4.533001 7.113325-4.533001C7.222914-4.533001 7.232877-4.592777 7.252802-4.782067L7.452055-6.505604C7.481943-6.774595 7.43213-6.774595 7.183064-6.774595H2.30137C2.102117-6.774595 2.002491-6.774595 2.002491-6.575342C2.002491-6.465753 2.092154-6.465753 2.281445-6.465753C2.650062-6.465753 2.929016-6.465753 2.929016-6.286426C2.929016-6.246575 2.929016-6.22665 2.879203-6.047323L1.564134-.777086C1.464508-.388543 1.444583-.308842 .657534-.308842C.488169-.308842 .37858-.308842 .37858-.119552C.37858 0 .498132 0 .52802 0C.816936 0 1.554172-.029888 1.843088-.029888C2.171856-.029888 2.998755 0 3.327522 0C3.417186 0 3.536737 0 3.536737-.18929C3.536737-.268991 3.476961-.288917 3.476961-.298879C3.447073-.308842 3.427148-.308842 3.198007-.308842C2.978829-.308842 2.929016-.308842 2.67995-.328767C2.391034-.358655 2.361146-.398506 2.361146-.52802C2.361146-.547945 2.361146-.607721 2.400996-.757161L3.01868-3.237858Z'/>
+<path id='g1-114' d='M.876712-.587796C.846824-.438356 .787049-.209215 .787049-.159402C.787049 .019925 .926526 .109589 1.075965 .109589C1.195517 .109589 1.374844 .029888 1.444583-.169365C1.464508-.209215 1.803238-1.564134 1.843088-1.743462C1.92279-2.072229 2.102117-2.769614 2.161893-3.038605C2.201743-3.16812 2.480697-3.636364 2.719801-3.855542C2.799502-3.92528 3.088418-4.184309 3.516812-4.184309C3.775841-4.184309 3.92528-4.064757 3.935243-4.064757C3.636364-4.014944 3.417186-3.775841 3.417186-3.516812C3.417186-3.35741 3.526775-3.16812 3.795766-3.16812S4.343711-3.39726 4.343711-3.755915C4.343711-4.104608 4.024907-4.403487 3.516812-4.403487C2.86924-4.403487 2.430884-3.915318 2.241594-3.636364C2.161893-4.084682 1.803238-4.403487 1.334994-4.403487C.876712-4.403487 .687422-4.014944 .597758-3.835616C.418431-3.496887 .288917-2.899128 .288917-2.86924C.288917-2.769614 .388543-2.769614 .408468-2.769614C.508095-2.769614 .518057-2.779577 .577833-2.998755C.747198-3.706102 .946451-4.184309 1.305106-4.184309C1.474471-4.184309 1.613948-4.104608 1.613948-3.726027C1.613948-3.516812 1.58406-3.407223 1.454545-2.889166L.876712-.587796Z'/>
+</defs>
+<g id='page1'>
+<use x='144.63073' y='-3.586587' xlink:href='#g1-70'/>
+<use x='154.634852' y='-3.586587' xlink:href='#g0-1'/>
+<use x='159.616127' y='-3.586587' xlink:href='#g1-114'/>
+<use x='166.601481' y='-3.586587' xlink:href='#g0-1'/>
+<use x='171.582755' y='-3.586587' xlink:href='#g2-99'/>
+<use x='176.010607' y='-3.586587' xlink:href='#g2-111'/>
+<use x='180.991946' y='-3.586587' xlink:href='#g2-115'/>
+<use x='184.921635' y='-3.586587' xlink:href='#g2-40'/>
+<use x='188.796009' y='-3.586587' xlink:href='#g1-11'/>
+<use x='195.206008' y='-3.586587' xlink:href='#g2-41'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/1b2635b21d7cbcca.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+F \cdot r \cdot \cos(\alpha)
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/1b269949027d41f0.svg

@@ -0,0 +1,14 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='11.575163pt' height='8.612131pt' viewBox='165.625486 -10.704337 11.575163 8.612131'>
+<defs>
+<path id='g1-66' d='M1.325031-.54396C1.262267-.306849 1.248319-.251059 .711333-.251059C.592777-.251059 .502117-.251059 .502117-.104608C.502117 0 .585803 0 .711333 0H3.410212C4.581818 0 5.481445-.801993 5.481445-1.492403C5.481445-1.987547 5.028144-2.412951 4.288917-2.489664C5.132752-2.643088 5.837111-3.173101 5.837111-3.772852C5.837111-4.302864 5.300125-4.763138 4.393524-4.763138H1.855044C1.72254-4.763138 1.63188-4.763138 1.63188-4.609714C1.63188-4.51208 1.715567-4.51208 1.855044-4.51208C1.862017-4.51208 1.994521-4.51208 2.12005-4.498132C2.266501-4.484184 2.280448-4.470237 2.280448-4.400498C2.280448-4.38655 2.280448-4.351681 2.252553-4.247073L1.325031-.54396ZM2.440847-2.57335L2.866252-4.274969C2.922042-4.491158 2.929016-4.51208 3.221918-4.51208H4.281943C4.993275-4.51208 5.153674-4.044832 5.153674-3.779826C5.153674-3.214944 4.519054-2.57335 3.584558-2.57335H2.440847ZM2.106102-.251059C1.889913-.251059 1.882939-.258032 1.882939-.320797C1.882939-.327771 1.882939-.36264 1.910834-.467248L2.39203-2.378082H3.870486C4.526027-2.378082 4.777086-1.945704 4.777086-1.54122C4.777086-.850809 4.072727-.251059 3.228892-.251059H2.106102Z'/>
+<path id='g0-118' d='M4.662516-3.706102C4.662516-4.244085 4.403487-4.403487 4.224159-4.403487C3.975093-4.403487 3.73599-4.144458 3.73599-3.92528C3.73599-3.795766 3.785803-3.73599 3.895392-3.626401C4.104608-3.427148 4.234122-3.16812 4.234122-2.809465C4.234122-2.391034 3.626401-.109589 2.460772-.109589C1.952677-.109589 1.723537-.458281 1.723537-.976339C1.723537-1.534247 1.992528-2.261519 2.30137-3.088418C2.371108-3.257783 2.420922-3.39726 2.420922-3.58655C2.420922-4.034869 2.102117-4.403487 1.603985-4.403487C.667497-4.403487 .288917-2.958904 .288917-2.86924C.288917-2.769614 .388543-2.769614 .408468-2.769614C.508095-2.769614 .518057-2.789539 .56787-2.948941C.856787-3.955168 1.285181-4.184309 1.574097-4.184309C1.653798-4.184309 1.823163-4.184309 1.823163-3.865504C1.823163-3.616438 1.723537-3.347447 1.653798-3.16812C1.215442-2.012453 1.085928-1.554172 1.085928-1.125778C1.085928-.049813 1.96264 .109589 2.420922 .109589C4.094645 .109589 4.662516-3.188045 4.662516-3.706102Z'/>
+<path id='g0-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='165.625486' y='-3.586587' xlink:href='#g0-126'/>
+<use x='166.012341' y='-3.586587' xlink:href='#g0-118'/>
+<use x='170.841473' y='-2.092206' xlink:href='#g1-66'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/1b269949027d41f0.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\vec{v}_B
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/1d8ad8260d74a0ec.svg

@@ -0,0 +1,10 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='5.936087pt' height='8.855684pt' viewBox='168.8875 -10.505089 5.936087 8.855684'>
+<defs>
+<path id='g0-30' d='M4.353674-6.674969C4.353674-6.694894 4.383562-6.804483 4.383562-6.814446S4.383562-6.914072 4.26401-6.914072C4.164384-6.914072 4.154421-6.884184 4.11457-6.714819L3.536737-4.41345C1.952677-4.363636 .488169-3.038605 .488169-1.683686C.488169-.737235 1.185554 .049813 2.400996 .119552C2.321295 .428394 2.251557 .747198 2.171856 1.05604C2.052304 1.524284 1.952677 1.902864 1.952677 1.932752C1.952677 2.032379 2.022416 2.042341 2.072229 2.042341S2.141968 2.032379 2.171856 2.002491C2.191781 1.982565 2.251557 1.743462 2.281445 1.603985L2.660025 .119552C4.26401 .069738 5.708593-1.275218 5.708593-2.610212C5.708593-3.39726 5.180573-4.313823 3.795766-4.41345L4.353674-6.674969ZM2.450809-.099626C1.853051-.129514 1.135741-.478207 1.135741-1.474471C1.135741-2.669988 1.992528-4.064757 3.476961-4.194271L2.450809-.099626ZM3.73599-4.194271C4.493151-4.154421 5.061021-3.696139 5.061021-2.819427C5.061021-1.643836 4.204234-.219178 2.709838-.099626L3.73599-4.194271Z'/>
+</defs>
+<g id='page1'>
+<use x='168.8875' y='-3.586587' xlink:href='#g0-30'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/1d8ad8260d74a0ec.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\phi
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/265843fdb06dea70.svg

@@ -0,0 +1,10 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='8.524989pt' height='6.807795pt' viewBox='167.593053 -10.394382 8.524989 6.807795'>
+<defs>
+<path id='g0-68' d='M1.58406-.777086C1.484433-.388543 1.464508-.308842 .67746-.308842C.508095-.308842 .398506-.308842 .398506-.119552C.398506 0 .488169 0 .67746 0H3.975093C6.047323 0 8.009963-2.102117 8.009963-4.283935C8.009963-5.688667 7.163138-6.804483 5.668742-6.804483H2.321295C2.132005-6.804483 2.022416-6.804483 2.022416-6.615193C2.022416-6.495641 2.11208-6.495641 2.311333-6.495641C2.440847-6.495641 2.620174-6.485679 2.739726-6.475716C2.899128-6.455791 2.958904-6.425903 2.958904-6.316314C2.958904-6.276463 2.948941-6.246575 2.919054-6.127024L1.58406-.777086ZM3.73599-6.117061C3.825654-6.465753 3.845579-6.495641 4.273973-6.495641H5.339975C6.316314-6.495641 7.143213-5.967621 7.143213-4.652553C7.143213-4.164384 6.94396-2.530511 6.097136-1.43462C5.808219-1.066002 5.021171-.308842 3.795766-.308842H2.669988C2.530511-.308842 2.510585-.308842 2.450809-.318804C2.351183-.328767 2.321295-.33873 2.321295-.418431C2.321295-.448319 2.321295-.468244 2.371108-.647572L3.73599-6.117061Z'/>
+</defs>
+<g id='page1'>
+<use x='167.593053' y='-3.586587' xlink:href='#g0-68'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/265843fdb06dea70.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+D
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/2e53d7e5073af1f7.svg

@@ -0,0 +1,14 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='10.377785pt' height='11.130458pt' viewBox='166.417591 -13.222664 10.377785 11.130458'>
+<defs>
+<path id='g1-49' d='M2.336239-4.435367C2.336239-4.623661 2.322291-4.630635 2.127024-4.630635C1.680697-4.191283 1.046077-4.184309 .760149-4.184309V-3.93325C.927522-3.93325 1.387796-3.93325 1.771357-4.128518V-.571856C1.771357-.341719 1.771357-.251059 1.073973-.251059H.808966V0C.934496-.006974 1.792279-.027895 2.050311-.027895C2.266501-.027895 3.145205-.006974 3.29863 0V-.251059H3.033624C2.336239-.251059 2.336239-.341719 2.336239-.571856V-4.435367Z'/>
+<path id='g0-70' d='M3.01868-3.237858H3.985056C4.732254-3.237858 4.811955-3.078456 4.811955-2.789539C4.811955-2.719801 4.811955-2.600249 4.742217-2.30137C4.722291-2.251557 4.712329-2.211706 4.712329-2.191781C4.712329-2.11208 4.772105-2.072229 4.83188-2.072229C4.931507-2.072229 4.931507-2.102117 4.98132-2.281445L5.529265-4.443337C5.559153-4.552927 5.559153-4.572852 5.559153-4.60274C5.559153-4.622665 5.539228-4.712329 5.439601-4.712329S5.330012-4.662516 5.290162-4.503113C5.080946-3.726027 4.851806-3.5467 4.004981-3.5467H3.098381L3.73599-6.07721C3.825654-6.425903 3.835616-6.465753 4.273973-6.465753H5.589041C6.814446-6.465753 7.043587-6.136986 7.043587-5.369863C7.043587-5.140722 7.043587-5.100872 7.013699-4.83188C6.993773-4.702366 6.993773-4.682441 6.993773-4.652553C6.993773-4.60274 7.023661-4.533001 7.113325-4.533001C7.222914-4.533001 7.232877-4.592777 7.252802-4.782067L7.452055-6.505604C7.481943-6.774595 7.43213-6.774595 7.183064-6.774595H2.30137C2.102117-6.774595 2.002491-6.774595 2.002491-6.575342C2.002491-6.465753 2.092154-6.465753 2.281445-6.465753C2.650062-6.465753 2.929016-6.465753 2.929016-6.286426C2.929016-6.246575 2.929016-6.22665 2.879203-6.047323L1.564134-.777086C1.464508-.388543 1.444583-.308842 .657534-.308842C.488169-.308842 .37858-.308842 .37858-.119552C.37858 0 .498132 0 .52802 0C.816936 0 1.554172-.029888 1.843088-.029888C2.171856-.029888 2.998755 0 3.327522 0C3.417186 0 3.536737 0 3.536737-.18929C3.536737-.268991 3.476961-.288917 3.476961-.298879C3.447073-.308842 3.427148-.308842 3.198007-.308842C2.978829-.308842 2.929016-.308842 2.67995-.328767C2.391034-.358655 2.361146-.398506 2.361146-.52802C2.361146-.547945 2.361146-.607721 2.400996-.757161L3.01868-3.237858Z'/>
+<path id='g0-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='167.886083' y='-6.104914' xlink:href='#g0-126'/>
+<use x='166.417591' y='-3.586587' xlink:href='#g0-70'/>
+<use x='172.824135' y='-2.092206' xlink:href='#g1-49'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/2e53d7e5073af1f7.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\vec{F}_1
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/337d82adac922bc2.svg

@@ -0,0 +1,12 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='18.264843pt' height='6.807795pt' viewBox='162.723117 -10.394382 18.264843 6.807795'>
+<defs>
+<path id='g0-77' d='M9.225405-6.03736C9.315068-6.396015 9.334994-6.495641 10.082192-6.495641C10.311333-6.495641 10.400996-6.495641 10.400996-6.694894C10.400996-6.804483 10.30137-6.804483 10.132005-6.804483H8.816936C8.557908-6.804483 8.547945-6.804483 8.428394-6.615193L4.79203-.936488L4.014944-6.575342C3.985056-6.804483 3.965131-6.804483 3.706102-6.804483H2.34122C2.15193-6.804483 2.042341-6.804483 2.042341-6.615193C2.042341-6.495641 2.132005-6.495641 2.331258-6.495641C2.460772-6.495641 2.6401-6.485679 2.759651-6.475716C2.919054-6.455791 2.978829-6.425903 2.978829-6.316314C2.978829-6.276463 2.968867-6.246575 2.938979-6.127024L1.673724-1.05604C1.574097-.657534 1.404732-.33873 .597758-.308842C.547945-.308842 .418431-.298879 .418431-.119552C.418431-.029888 .478207 0 .557908 0C.876712 0 1.225405-.029888 1.554172-.029888C1.892902-.029888 2.251557 0 2.580324 0C2.630137 0 2.759651 0 2.759651-.199253C2.759651-.308842 2.650062-.308842 2.580324-.308842C2.012453-.318804 1.902864-.518057 1.902864-.747198C1.902864-.816936 1.912827-.86675 1.942715-.976339L3.297634-6.405978H3.307597L4.164384-.229141C4.184309-.109589 4.194271 0 4.313823 0C4.423412 0 4.483188-.109589 4.533001-.179328L8.557908-6.485679H8.56787L7.143213-.777086C7.043587-.388543 7.023661-.308842 6.236613-.308842C6.067248-.308842 5.957659-.308842 5.957659-.119552C5.957659 0 6.07721 0 6.107098 0C6.386052 0 7.063512-.029888 7.342466-.029888C7.750934-.029888 8.179328 0 8.587796 0C8.647572 0 8.777086 0 8.777086-.199253C8.777086-.308842 8.687422-.308842 8.498132-.308842C8.129514-.308842 7.85056-.308842 7.85056-.488169C7.85056-.52802 7.85056-.547945 7.900374-.727273L9.225405-6.03736Z'/>
+<path id='g0-90' d='M7.173101-6.56538C7.183064-6.60523 7.202989-6.655044 7.202989-6.714819C7.202989-6.804483 7.153176-6.804483 6.953923-6.804483H2.749689C2.510585-6.804483 2.500623-6.794521 2.440847-6.60523L1.892902-4.811955C1.872976-4.762142 1.863014-4.692403 1.863014-4.672478C1.863014-4.662516 1.863014-4.562889 1.982565-4.562889C2.072229-4.562889 2.092154-4.632628 2.11208-4.662516C2.49066-5.838107 3.008717-6.495641 4.562889-6.495641H6.1868L.617684-.268991C.617684-.259029 .577833-.119552 .577833-.089664C.577833 0 .647572 0 .826899 0H5.160648C5.399751 0 5.409714-.009963 5.469489-.199253L6.176837-2.400996C6.1868-2.440847 6.216687-2.510585 6.216687-2.550436C6.216687-2.600249 6.176837-2.660025 6.087173-2.660025S5.987547-2.620174 5.917808-2.410959C5.479452-1.05604 5.001245-.33873 3.307597-.33873H1.603985L7.173101-6.56538Z'/>
+</defs>
+<g id='page1'>
+<use x='162.723117' y='-3.586587' xlink:href='#g0-77'/>
+<use x='173.474459' y='-3.586587' xlink:href='#g0-90'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/337d82adac922bc2.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+MZ
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/33a47c5bd75a491d.svg

@@ -0,0 +1,16 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='11.575163pt' height='10.4508pt' viewBox='165.625486 -11.574455 11.575163 10.4508'>
+<defs>
+<path id='g2-66' d='M1.325031-.54396C1.262267-.306849 1.248319-.251059 .711333-.251059C.592777-.251059 .502117-.251059 .502117-.104608C.502117 0 .585803 0 .711333 0H3.410212C4.581818 0 5.481445-.801993 5.481445-1.492403C5.481445-1.987547 5.028144-2.412951 4.288917-2.489664C5.132752-2.643088 5.837111-3.173101 5.837111-3.772852C5.837111-4.302864 5.300125-4.763138 4.393524-4.763138H1.855044C1.72254-4.763138 1.63188-4.763138 1.63188-4.609714C1.63188-4.51208 1.715567-4.51208 1.855044-4.51208C1.862017-4.51208 1.994521-4.51208 2.12005-4.498132C2.266501-4.484184 2.280448-4.470237 2.280448-4.400498C2.280448-4.38655 2.280448-4.351681 2.252553-4.247073L1.325031-.54396ZM2.440847-2.57335L2.866252-4.274969C2.922042-4.491158 2.929016-4.51208 3.221918-4.51208H4.281943C4.993275-4.51208 5.153674-4.044832 5.153674-3.779826C5.153674-3.214944 4.519054-2.57335 3.584558-2.57335H2.440847ZM2.106102-.251059C1.889913-.251059 1.882939-.258032 1.882939-.320797C1.882939-.327771 1.882939-.36264 1.910834-.467248L2.39203-2.378082H3.870486C4.526027-2.378082 4.777086-1.945704 4.777086-1.54122C4.777086-.850809 4.072727-.251059 3.228892-.251059H2.106102Z'/>
+<path id='g0-48' d='M2.022416-3.291656C2.078207-3.410212 2.085181-3.466002 2.085181-3.514819C2.085181-3.731009 1.889913-3.898381 1.673724-3.898381C1.408717-3.898381 1.325031-3.682192 1.290162-3.57061L.369614-.550934C.36264-.536986 .334745-.446326 .334745-.439352C.334745-.355666 .550934-.285928 .606725-.285928C.655542-.285928 .662516-.299875 .711333-.404483L2.022416-3.291656Z'/>
+<path id='g1-118' d='M4.662516-3.706102C4.662516-4.244085 4.403487-4.403487 4.224159-4.403487C3.975093-4.403487 3.73599-4.144458 3.73599-3.92528C3.73599-3.795766 3.785803-3.73599 3.895392-3.626401C4.104608-3.427148 4.234122-3.16812 4.234122-2.809465C4.234122-2.391034 3.626401-.109589 2.460772-.109589C1.952677-.109589 1.723537-.458281 1.723537-.976339C1.723537-1.534247 1.992528-2.261519 2.30137-3.088418C2.371108-3.257783 2.420922-3.39726 2.420922-3.58655C2.420922-4.034869 2.102117-4.403487 1.603985-4.403487C.667497-4.403487 .288917-2.958904 .288917-2.86924C.288917-2.769614 .388543-2.769614 .408468-2.769614C.508095-2.769614 .518057-2.789539 .56787-2.948941C.856787-3.955168 1.285181-4.184309 1.574097-4.184309C1.653798-4.184309 1.823163-4.184309 1.823163-3.865504C1.823163-3.616438 1.723537-3.347447 1.653798-3.16812C1.215442-2.012453 1.085928-1.554172 1.085928-1.125778C1.085928-.049813 1.96264 .109589 2.420922 .109589C4.094645 .109589 4.662516-3.188045 4.662516-3.706102Z'/>
+<path id='g1-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='165.625486' y='-3.586587' xlink:href='#g1-126'/>
+<use x='166.012341' y='-3.586587' xlink:href='#g1-118'/>
+<use x='171.198912' y='-7.700083' xlink:href='#g0-48'/>
+<use x='170.841473' y='-1.123655' xlink:href='#g2-66'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/33a47c5bd75a491d.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\vec{v}_B '
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/39bfc34060105709.svg

@@ -0,0 +1,14 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='10.377785pt' height='11.130458pt' viewBox='166.417591 -13.222664 10.377785 11.130458'>
+<defs>
+<path id='g1-51' d='M1.903861-2.329265C2.447821-2.329265 2.838356-1.952677 2.838356-1.206476C2.838356-.341719 2.336239-.083686 1.931756-.083686C1.652802-.083686 1.039103-.160399 .746202-.571856C1.073973-.585803 1.150685-.81594 1.150685-.962391C1.150685-1.185554 .983313-1.345953 .767123-1.345953C.571856-1.345953 .376588-1.227397 .376588-.941469C.376588-.285928 1.101868 .139477 1.945704 .139477C2.915068 .139477 3.584558-.509091 3.584558-1.206476C3.584558-1.750436 3.138232-2.294396 2.371108-2.454795C3.103362-2.719801 3.368369-3.242839 3.368369-3.668244C3.368369-4.219178 2.733748-4.630635 1.959651-4.630635S.592777-4.254047 .592777-3.696139C.592777-3.459029 .746202-3.326526 .955417-3.326526C1.171606-3.326526 1.311083-3.486924 1.311083-3.682192C1.311083-3.884433 1.171606-4.030884 .955417-4.044832C1.199502-4.351681 1.680697-4.428394 1.93873-4.428394C2.252553-4.428394 2.691905-4.274969 2.691905-3.668244C2.691905-3.375342 2.594271-3.054545 2.412951-2.838356C2.182814-2.57335 1.987547-2.559402 1.638854-2.538481C1.464508-2.524533 1.45056-2.524533 1.415691-2.517559C1.401743-2.517559 1.345953-2.503611 1.345953-2.426899C1.345953-2.329265 1.408717-2.329265 1.527273-2.329265H1.903861Z'/>
+<path id='g0-70' d='M3.01868-3.237858H3.985056C4.732254-3.237858 4.811955-3.078456 4.811955-2.789539C4.811955-2.719801 4.811955-2.600249 4.742217-2.30137C4.722291-2.251557 4.712329-2.211706 4.712329-2.191781C4.712329-2.11208 4.772105-2.072229 4.83188-2.072229C4.931507-2.072229 4.931507-2.102117 4.98132-2.281445L5.529265-4.443337C5.559153-4.552927 5.559153-4.572852 5.559153-4.60274C5.559153-4.622665 5.539228-4.712329 5.439601-4.712329S5.330012-4.662516 5.290162-4.503113C5.080946-3.726027 4.851806-3.5467 4.004981-3.5467H3.098381L3.73599-6.07721C3.825654-6.425903 3.835616-6.465753 4.273973-6.465753H5.589041C6.814446-6.465753 7.043587-6.136986 7.043587-5.369863C7.043587-5.140722 7.043587-5.100872 7.013699-4.83188C6.993773-4.702366 6.993773-4.682441 6.993773-4.652553C6.993773-4.60274 7.023661-4.533001 7.113325-4.533001C7.222914-4.533001 7.232877-4.592777 7.252802-4.782067L7.452055-6.505604C7.481943-6.774595 7.43213-6.774595 7.183064-6.774595H2.30137C2.102117-6.774595 2.002491-6.774595 2.002491-6.575342C2.002491-6.465753 2.092154-6.465753 2.281445-6.465753C2.650062-6.465753 2.929016-6.465753 2.929016-6.286426C2.929016-6.246575 2.929016-6.22665 2.879203-6.047323L1.564134-.777086C1.464508-.388543 1.444583-.308842 .657534-.308842C.488169-.308842 .37858-.308842 .37858-.119552C.37858 0 .498132 0 .52802 0C.816936 0 1.554172-.029888 1.843088-.029888C2.171856-.029888 2.998755 0 3.327522 0C3.417186 0 3.536737 0 3.536737-.18929C3.536737-.268991 3.476961-.288917 3.476961-.298879C3.447073-.308842 3.427148-.308842 3.198007-.308842C2.978829-.308842 2.929016-.308842 2.67995-.328767C2.391034-.358655 2.361146-.398506 2.361146-.52802C2.361146-.547945 2.361146-.607721 2.400996-.757161L3.01868-3.237858Z'/>
+<path id='g0-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='168.598666' y='-6.104914' xlink:href='#g0-126'/>
+<use x='166.417591' y='-3.586587' xlink:href='#g0-70'/>
+<use x='172.824135' y='-2.092206' xlink:href='#g1-51'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/39bfc34060105709.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\vec{F_3}
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/3b4fd2d1fa7d648f.svg

@@ -0,0 +1,16 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='23.838166pt' height='7.11775pt' viewBox='159.743035 -10.704337 23.838166 7.11775'>
+<defs>
+<path id='g1-48' d='M4.582814-3.188045C4.582814-3.985056 4.533001-4.782067 4.184309-5.519303C3.726027-6.475716 2.909091-6.635118 2.49066-6.635118C1.892902-6.635118 1.165629-6.37609 .757161-5.449564C.438356-4.762142 .388543-3.985056 .388543-3.188045C.388543-2.440847 .428394-1.544209 .836862-.787049C1.265255 .019925 1.992528 .219178 2.480697 .219178C3.01868 .219178 3.775841 .009963 4.214197-.936488C4.533001-1.62391 4.582814-2.400996 4.582814-3.188045ZM2.480697 0C2.092154 0 1.504359-.249066 1.325031-1.205479C1.215442-1.803238 1.215442-2.719801 1.215442-3.307597C1.215442-3.945205 1.215442-4.60274 1.295143-5.140722C1.484433-6.326276 2.231631-6.41594 2.480697-6.41594C2.809465-6.41594 3.466999-6.236613 3.656289-5.250311C3.755915-4.692403 3.755915-3.935243 3.755915-3.307597C3.755915-2.560399 3.755915-1.882939 3.646326-1.24533C3.496887-.298879 2.929016 0 2.480697 0Z'/>
+<path id='g1-61' d='M6.844334-3.257783C6.993773-3.257783 7.183064-3.257783 7.183064-3.457036S6.993773-3.656289 6.854296-3.656289H.886675C.747198-3.656289 .557908-3.656289 .557908-3.457036S.747198-3.257783 .896638-3.257783H6.844334ZM6.854296-1.325031C6.993773-1.325031 7.183064-1.325031 7.183064-1.524284S6.993773-1.723537 6.844334-1.723537H.896638C.747198-1.723537 .557908-1.723537 .557908-1.524284S.747198-1.325031 .886675-1.325031H6.854296Z'/>
+<path id='g0-118' d='M4.662516-3.706102C4.662516-4.244085 4.403487-4.403487 4.224159-4.403487C3.975093-4.403487 3.73599-4.144458 3.73599-3.92528C3.73599-3.795766 3.785803-3.73599 3.895392-3.626401C4.104608-3.427148 4.234122-3.16812 4.234122-2.809465C4.234122-2.391034 3.626401-.109589 2.460772-.109589C1.952677-.109589 1.723537-.458281 1.723537-.976339C1.723537-1.534247 1.992528-2.261519 2.30137-3.088418C2.371108-3.257783 2.420922-3.39726 2.420922-3.58655C2.420922-4.034869 2.102117-4.403487 1.603985-4.403487C.667497-4.403487 .288917-2.958904 .288917-2.86924C.288917-2.769614 .388543-2.769614 .408468-2.769614C.508095-2.769614 .518057-2.789539 .56787-2.948941C.856787-3.955168 1.285181-4.184309 1.574097-4.184309C1.653798-4.184309 1.823163-4.184309 1.823163-3.865504C1.823163-3.616438 1.723537-3.347447 1.653798-3.16812C1.215442-2.012453 1.085928-1.554172 1.085928-1.125778C1.085928-.049813 1.96264 .109589 2.420922 .109589C4.094645 .109589 4.662516-3.188045 4.662516-3.706102Z'/>
+<path id='g0-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='159.743035' y='-3.586587' xlink:href='#g0-126'/>
+<use x='160.12989' y='-3.586587' xlink:href='#g0-118'/>
+<use x='168.083782' y='-3.586587' xlink:href='#g1-61'/>
+<use x='178.599862' y='-3.586587' xlink:href='#g1-48'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/3b4fd2d1fa7d648f.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\vec{v} = 0
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/3ecdda5b14fcaacb.svg

@@ -0,0 +1,10 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='5.241955pt' height='6.22665pt' viewBox='169.234572 -7.876055 5.241955 6.22665'>
+<defs>
+<path id='g0-121' d='M4.841843-3.795766C4.881694-3.935243 4.881694-3.955168 4.881694-4.024907C4.881694-4.204234 4.742217-4.293898 4.592777-4.293898C4.493151-4.293898 4.333748-4.234122 4.244085-4.084682C4.224159-4.034869 4.144458-3.726027 4.104608-3.5467C4.034869-3.287671 3.965131-3.01868 3.905355-2.749689L3.457036-.956413C3.417186-.806974 2.988792-.109589 2.331258-.109589C1.823163-.109589 1.713574-.547945 1.713574-.916563C1.713574-1.374844 1.882939-1.992528 2.221669-2.86924C2.381071-3.277709 2.420922-3.387298 2.420922-3.58655C2.420922-4.034869 2.102117-4.403487 1.603985-4.403487C.657534-4.403487 .288917-2.958904 .288917-2.86924C.288917-2.769614 .388543-2.769614 .408468-2.769614C.508095-2.769614 .518057-2.789539 .56787-2.948941C.836862-3.88543 1.235367-4.184309 1.574097-4.184309C1.653798-4.184309 1.823163-4.184309 1.823163-3.865504C1.823163-3.616438 1.723537-3.35741 1.653798-3.16812C1.255293-2.11208 1.075965-1.544209 1.075965-1.075965C1.075965-.18929 1.703611 .109589 2.291407 .109589C2.67995 .109589 3.01868-.059776 3.297634-.33873C3.16812 .179328 3.048568 .667497 2.650062 1.195517C2.391034 1.534247 2.012453 1.823163 1.554172 1.823163C1.414695 1.823163 .966376 1.793275 .797011 1.404732C.956413 1.404732 1.085928 1.404732 1.225405 1.285181C1.325031 1.195517 1.424658 1.066002 1.424658 .876712C1.424658 .56787 1.155666 .52802 1.05604 .52802C.826899 .52802 .498132 .687422 .498132 1.175592C.498132 1.673724 .936488 2.042341 1.554172 2.042341C2.580324 2.042341 3.606476 1.135741 3.88543 .009963L4.841843-3.795766Z'/>
+</defs>
+<g id='page1'>
+<use x='169.234572' y='-3.586587' xlink:href='#g0-121'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/3ecdda5b14fcaacb.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+y
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/400ad923909f81ef.svg

@@ -0,0 +1,12 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='11.989801pt' height='8.302176pt' viewBox='165.611577 -10.394382 11.989801 8.302176'>
+<defs>
+<path id='g1-120' d='M1.736488-.739228C1.66675-.502117 1.436613-.125529 1.080946-.125529C1.060025-.125529 .850809-.125529 .704359-.223163C.990286-.313823 1.011208-.564882 1.011208-.606725C1.011208-.760149 .892653-.864757 .732254-.864757C.536986-.864757 .334745-.697385 .334745-.439352C.334745-.09066 .72528 .069738 1.066999 .069738C1.387796 .069738 1.673724-.132503 1.84807-.425405C2.015442-.055791 2.399004 .069738 2.677958 .069738C3.47995 .069738 3.905355-.801993 3.905355-.99726C3.905355-1.08792 3.814695-1.08792 3.793773-1.08792C3.696139-1.08792 3.689166-1.053051 3.66127-.969365C3.514819-.488169 3.096389-.125529 2.705853-.125529C2.426899-.125529 2.280448-.313823 2.280448-.578829C2.280448-.760149 2.447821-1.39477 2.643088-2.168867C2.782565-2.705853 3.096389-2.880199 3.326526-2.880199C3.340473-2.880199 3.556663-2.880199 3.703113-2.782565C3.47995-2.719801 3.396264-2.524533 3.396264-2.399004C3.396264-2.245579 3.514819-2.140971 3.675218-2.140971S4.065753-2.273474 4.065753-2.566376C4.065753-2.956912 3.619427-3.075467 3.340473-3.075467C2.991781-3.075467 2.712827-2.84533 2.559402-2.580324C2.433873-2.866252 2.113076-3.075467 1.72254-3.075467C.941469-3.075467 .495143-2.217684 .495143-2.008468C.495143-1.917808 .592777-1.917808 .613699-1.917808C.704359-1.917808 .711333-1.945704 .746202-2.036364C.920548-2.580324 1.3599-2.880199 1.701619-2.880199C1.931756-2.880199 2.12005-2.75467 2.12005-2.419925C2.12005-2.280448 2.036364-1.931756 1.973599-1.694645L1.736488-.739228Z'/>
+<path id='g0-65' d='M1.783313-1.145704C1.384807-.478207 .996264-.33873 .557908-.308842C.438356-.298879 .348692-.298879 .348692-.109589C.348692-.049813 .398506 0 .478207 0C.747198 0 1.05604-.029888 1.334994-.029888C1.663761-.029888 2.012453 0 2.331258 0C2.391034 0 2.520548 0 2.520548-.18929C2.520548-.298879 2.430884-.308842 2.361146-.308842C2.132005-.328767 1.892902-.408468 1.892902-.657534C1.892902-.777086 1.952677-.886675 2.032379-1.026152L2.789539-2.30137H5.290162C5.310087-2.092154 5.449564-.737235 5.449564-.637609C5.449564-.33873 4.931507-.308842 4.732254-.308842C4.592777-.308842 4.493151-.308842 4.493151-.109589C4.493151 0 4.612702 0 4.632628 0C5.041096 0 5.469489-.029888 5.877958-.029888C6.127024-.029888 6.75467 0 7.003736 0C7.063512 0 7.183064 0 7.183064-.199253C7.183064-.308842 7.083437-.308842 6.953923-.308842C6.336239-.308842 6.336239-.37858 6.306351-.667497L5.69863-6.894147C5.678705-7.0934 5.678705-7.13325 5.50934-7.13325C5.349938-7.13325 5.310087-7.063512 5.250311-6.963885L1.783313-1.145704ZM2.978829-2.610212L4.941469-5.897883L5.260274-2.610212H2.978829Z'/>
+</defs>
+<g id='page1'>
+<use x='165.611577' y='-3.586587' xlink:href='#g0-65'/>
+<use x='173.083576' y='-2.092206' xlink:href='#g1-120'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/400ad923909f81ef.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+A_x
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/43b964ac29d1fef3.svg

@@ -0,0 +1,10 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='5.071286pt' height='4.289468pt' viewBox='169.3199 -7.876055 5.071286 4.289468'>
+<defs>
+<path id='g0-122' d='M1.325031-.826899C1.863014-1.404732 2.15193-1.653798 2.510585-1.96264C2.510585-1.972603 3.128269-2.500623 3.486924-2.859278C4.433375-3.785803 4.652553-4.26401 4.652553-4.303861C4.652553-4.403487 4.562889-4.403487 4.542964-4.403487C4.473225-4.403487 4.443337-4.383562 4.393524-4.293898C4.094645-3.815691 3.88543-3.656289 3.646326-3.656289S3.287671-3.805729 3.138232-3.975093C2.948941-4.204234 2.779577-4.403487 2.450809-4.403487C1.703611-4.403487 1.24533-3.476961 1.24533-3.267746C1.24533-3.217933 1.275218-3.158157 1.364882-3.158157S1.474471-3.20797 1.494396-3.267746C1.683686-3.726027 2.261519-3.73599 2.34122-3.73599C2.550436-3.73599 2.739726-3.666252 2.968867-3.58655C3.367372-3.437111 3.476961-3.437111 3.73599-3.437111C3.377335-3.008717 2.540473-2.291407 2.351183-2.132005L1.454545-1.295143C.777086-.627646 .428394-.059776 .428394 .009963C.428394 .109589 .52802 .109589 .547945 .109589C.627646 .109589 .647572 .089664 .707347-.019925C.936488-.368618 1.235367-.637609 1.554172-.637609C1.783313-.637609 1.882939-.547945 2.132005-.259029C2.30137-.049813 2.480697 .109589 2.769614 .109589C3.755915 .109589 4.333748-1.155666 4.333748-1.424658C4.333748-1.474471 4.293898-1.524284 4.214197-1.524284C4.124533-1.524284 4.104608-1.464508 4.07472-1.39477C3.845579-.747198 3.20797-.557908 2.879203-.557908C2.67995-.557908 2.500623-.617684 2.291407-.687422C1.952677-.816936 1.803238-.856787 1.594022-.856787C1.574097-.856787 1.414695-.856787 1.325031-.826899Z'/>
+</defs>
+<g id='page1'>
+<use x='169.3199' y='-3.586587' xlink:href='#g0-122'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/43b964ac29d1fef3.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+z
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/4c6bdbc1ff5a4823.svg

@@ -0,0 +1,12 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='10.172532pt' height='5.783849pt' viewBox='166.520218 -7.876055 10.172532 5.783849'>
+<defs>
+<path id='g1-52' d='M3.689166-1.143711V-1.39477H2.915068V-4.505106C2.915068-4.651557 2.915068-4.700374 2.761644-4.700374C2.677958-4.700374 2.650062-4.700374 2.580324-4.60274L.27198-1.39477V-1.143711H2.322291V-.571856C2.322291-.334745 2.322291-.251059 1.75741-.251059H1.569116V0C1.917808-.013948 2.364134-.027895 2.615193-.027895C2.873225-.027895 3.319552-.013948 3.668244 0V-.251059H3.47995C2.915068-.251059 2.915068-.334745 2.915068-.571856V-1.143711H3.689166ZM2.371108-3.947198V-1.39477H.530012L2.371108-3.947198Z'/>
+<path id='g0-33' d='M6.027397-3.706102C6.027397-4.154421 5.84807-4.403487 5.628892-4.403487C5.369863-4.403487 5.100872-4.164384 5.100872-3.935243C5.100872-3.835616 5.150685-3.726027 5.250311-3.636364C5.419676-3.486924 5.599004-3.217933 5.599004-2.799502C5.599004-2.400996 5.409714-1.833126 5.100872-1.374844C4.801993-.946451 4.433375-.607721 3.965131-.607721C3.39726-.607721 3.088418-.966376 2.998755-1.504359C3.108344-1.763387 3.337484-2.400996 3.337484-2.67995C3.337484-2.799502 3.287671-2.899128 3.158157-2.899128C3.078456-2.899128 2.968867-2.879203 2.889166-2.729763C2.779577-2.530511 2.660025-1.882939 2.660025-1.524284C2.331258-1.05604 1.932752-.607721 1.305106-.607721C.647572-.607721 .438356-1.195517 .438356-1.753425C.438356-2.998755 1.454545-4.044832 1.454545-4.174346C1.454545-4.283935 1.374844-4.363636 1.265255-4.363636C1.135741-4.363636 1.066002-4.234122 1.006227-4.144458C.498132-3.407223 .119552-2.221669 .119552-1.315068C.119552-.627646 .348692 .109589 1.165629 .109589C1.872976 .109589 2.34122-.388543 2.699875-.936488C2.789539-.358655 3.178082 .109589 3.795766 .109589C4.572852 .109589 5.051059-.498132 5.409714-1.24533C5.648817-1.733499 6.027397-3.088418 6.027397-3.706102Z'/>
+</defs>
+<g id='page1'>
+<use x='166.520218' y='-3.586587' xlink:href='#g0-33'/>
+<use x='172.721509' y='-2.092206' xlink:href='#g1-52'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/4c6bdbc1ff5a4823.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\omega_4
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/54bd793acfb7026b.svg

@@ -0,0 +1,10 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='7.876015pt' height='6.807795pt' viewBox='167.917535 -10.394382 7.876015 6.807795'>
+<defs>
+<path id='g0-79' d='M7.372354-4.343711C7.372354-5.947696 6.316314-7.023661 4.83188-7.023661C2.67995-7.023661 .488169-4.762142 .488169-2.440847C.488169-.787049 1.603985 .219178 3.038605 .219178C5.150685 .219178 7.372354-1.96264 7.372354-4.343711ZM3.098381-.039851C2.11208-.039851 1.414695-.846824 1.414695-2.161893C1.414695-2.600249 1.554172-4.054795 2.321295-5.220423C3.008717-6.256538 3.985056-6.774595 4.772105-6.774595C5.589041-6.774595 6.485679-6.216687 6.485679-4.732254C6.485679-4.014944 6.216687-2.460772 5.230386-1.235367C4.752179-.627646 3.935243-.039851 3.098381-.039851Z'/>
+</defs>
+<g id='page1'>
+<use x='167.917535' y='-3.586587' xlink:href='#g0-79'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/54bd793acfb7026b.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+O
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/5b2e0c7971907620.svg

@@ -0,0 +1,18 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='23.838166pt' height='9.054913pt' viewBox='159.743035 -10.704337 23.838166 9.054913'>
+<defs>
+<path id='g2-48' d='M4.582814-3.188045C4.582814-3.985056 4.533001-4.782067 4.184309-5.519303C3.726027-6.475716 2.909091-6.635118 2.49066-6.635118C1.892902-6.635118 1.165629-6.37609 .757161-5.449564C.438356-4.762142 .388543-3.985056 .388543-3.188045C.388543-2.440847 .428394-1.544209 .836862-.787049C1.265255 .019925 1.992528 .219178 2.480697 .219178C3.01868 .219178 3.775841 .009963 4.214197-.936488C4.533001-1.62391 4.582814-2.400996 4.582814-3.188045ZM2.480697 0C2.092154 0 1.504359-.249066 1.325031-1.205479C1.215442-1.803238 1.215442-2.719801 1.215442-3.307597C1.215442-3.945205 1.215442-4.60274 1.295143-5.140722C1.484433-6.326276 2.231631-6.41594 2.480697-6.41594C2.809465-6.41594 3.466999-6.236613 3.656289-5.250311C3.755915-4.692403 3.755915-3.935243 3.755915-3.307597C3.755915-2.560399 3.755915-1.882939 3.646326-1.24533C3.496887-.298879 2.929016 0 2.480697 0Z'/>
+<path id='g2-61' d='M6.844334-3.257783C6.993773-3.257783 7.183064-3.257783 7.183064-3.457036S6.993773-3.656289 6.854296-3.656289H.886675C.747198-3.656289 .557908-3.656289 .557908-3.457036S.747198-3.257783 .896638-3.257783H6.844334ZM6.854296-1.325031C6.993773-1.325031 7.183064-1.325031 7.183064-1.524284S6.993773-1.723537 6.844334-1.723537H.896638C.747198-1.723537 .557908-1.723537 .557908-1.524284S.747198-1.325031 .886675-1.325031H6.854296Z'/>
+<path id='g0-54' d='M6.276463-6.744707C6.356164-6.884184 6.356164-6.90411 6.356164-6.933998C6.356164-7.003736 6.296389-7.13325 6.156912-7.13325C6.03736-7.13325 6.007472-7.073474 5.937733-6.933998L1.464508 1.763387C1.384807 1.902864 1.384807 1.92279 1.384807 1.952677C1.384807 2.032379 1.454545 2.15193 1.58406 2.15193C1.703611 2.15193 1.733499 2.092154 1.803238 1.952677L6.276463-6.744707Z'/>
+<path id='g1-118' d='M4.662516-3.706102C4.662516-4.244085 4.403487-4.403487 4.224159-4.403487C3.975093-4.403487 3.73599-4.144458 3.73599-3.92528C3.73599-3.795766 3.785803-3.73599 3.895392-3.626401C4.104608-3.427148 4.234122-3.16812 4.234122-2.809465C4.234122-2.391034 3.626401-.109589 2.460772-.109589C1.952677-.109589 1.723537-.458281 1.723537-.976339C1.723537-1.534247 1.992528-2.261519 2.30137-3.088418C2.371108-3.257783 2.420922-3.39726 2.420922-3.58655C2.420922-4.034869 2.102117-4.403487 1.603985-4.403487C.667497-4.403487 .288917-2.958904 .288917-2.86924C.288917-2.769614 .388543-2.769614 .408468-2.769614C.508095-2.769614 .518057-2.789539 .56787-2.948941C.856787-3.955168 1.285181-4.184309 1.574097-4.184309C1.653798-4.184309 1.823163-4.184309 1.823163-3.865504C1.823163-3.616438 1.723537-3.347447 1.653798-3.16812C1.215442-2.012453 1.085928-1.554172 1.085928-1.125778C1.085928-.049813 1.96264 .109589 2.420922 .109589C4.094645 .109589 4.662516-3.188045 4.662516-3.706102Z'/>
+<path id='g1-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='159.743035' y='-3.586587' xlink:href='#g1-126'/>
+<use x='160.12989' y='-3.586587' xlink:href='#g1-118'/>
+<use x='168.083782' y='-3.586587' xlink:href='#g0-54'/>
+<use x='168.083782' y='-3.586587' xlink:href='#g2-61'/>
+<use x='178.599862' y='-3.586587' xlink:href='#g2-48'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/5b2e0c7971907620.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\vec{v} \neq 0
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/5cf66422a3ccd577.svg

@@ -0,0 +1,14 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='10.377785pt' height='11.130458pt' viewBox='166.417591 -13.222664 10.377785 11.130458'>
+<defs>
+<path id='g1-51' d='M1.903861-2.329265C2.447821-2.329265 2.838356-1.952677 2.838356-1.206476C2.838356-.341719 2.336239-.083686 1.931756-.083686C1.652802-.083686 1.039103-.160399 .746202-.571856C1.073973-.585803 1.150685-.81594 1.150685-.962391C1.150685-1.185554 .983313-1.345953 .767123-1.345953C.571856-1.345953 .376588-1.227397 .376588-.941469C.376588-.285928 1.101868 .139477 1.945704 .139477C2.915068 .139477 3.584558-.509091 3.584558-1.206476C3.584558-1.750436 3.138232-2.294396 2.371108-2.454795C3.103362-2.719801 3.368369-3.242839 3.368369-3.668244C3.368369-4.219178 2.733748-4.630635 1.959651-4.630635S.592777-4.254047 .592777-3.696139C.592777-3.459029 .746202-3.326526 .955417-3.326526C1.171606-3.326526 1.311083-3.486924 1.311083-3.682192C1.311083-3.884433 1.171606-4.030884 .955417-4.044832C1.199502-4.351681 1.680697-4.428394 1.93873-4.428394C2.252553-4.428394 2.691905-4.274969 2.691905-3.668244C2.691905-3.375342 2.594271-3.054545 2.412951-2.838356C2.182814-2.57335 1.987547-2.559402 1.638854-2.538481C1.464508-2.524533 1.45056-2.524533 1.415691-2.517559C1.401743-2.517559 1.345953-2.503611 1.345953-2.426899C1.345953-2.329265 1.408717-2.329265 1.527273-2.329265H1.903861Z'/>
+<path id='g0-70' d='M3.01868-3.237858H3.985056C4.732254-3.237858 4.811955-3.078456 4.811955-2.789539C4.811955-2.719801 4.811955-2.600249 4.742217-2.30137C4.722291-2.251557 4.712329-2.211706 4.712329-2.191781C4.712329-2.11208 4.772105-2.072229 4.83188-2.072229C4.931507-2.072229 4.931507-2.102117 4.98132-2.281445L5.529265-4.443337C5.559153-4.552927 5.559153-4.572852 5.559153-4.60274C5.559153-4.622665 5.539228-4.712329 5.439601-4.712329S5.330012-4.662516 5.290162-4.503113C5.080946-3.726027 4.851806-3.5467 4.004981-3.5467H3.098381L3.73599-6.07721C3.825654-6.425903 3.835616-6.465753 4.273973-6.465753H5.589041C6.814446-6.465753 7.043587-6.136986 7.043587-5.369863C7.043587-5.140722 7.043587-5.100872 7.013699-4.83188C6.993773-4.702366 6.993773-4.682441 6.993773-4.652553C6.993773-4.60274 7.023661-4.533001 7.113325-4.533001C7.222914-4.533001 7.232877-4.592777 7.252802-4.782067L7.452055-6.505604C7.481943-6.774595 7.43213-6.774595 7.183064-6.774595H2.30137C2.102117-6.774595 2.002491-6.774595 2.002491-6.575342C2.002491-6.465753 2.092154-6.465753 2.281445-6.465753C2.650062-6.465753 2.929016-6.465753 2.929016-6.286426C2.929016-6.246575 2.929016-6.22665 2.879203-6.047323L1.564134-.777086C1.464508-.388543 1.444583-.308842 .657534-.308842C.488169-.308842 .37858-.308842 .37858-.119552C.37858 0 .498132 0 .52802 0C.816936 0 1.554172-.029888 1.843088-.029888C2.171856-.029888 2.998755 0 3.327522 0C3.417186 0 3.536737 0 3.536737-.18929C3.536737-.268991 3.476961-.288917 3.476961-.298879C3.447073-.308842 3.427148-.308842 3.198007-.308842C2.978829-.308842 2.929016-.308842 2.67995-.328767C2.391034-.358655 2.361146-.398506 2.361146-.52802C2.361146-.547945 2.361146-.607721 2.400996-.757161L3.01868-3.237858Z'/>
+<path id='g0-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='167.886083' y='-6.104914' xlink:href='#g0-126'/>
+<use x='166.417591' y='-3.586587' xlink:href='#g0-70'/>
+<use x='172.824135' y='-2.092206' xlink:href='#g1-51'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/5cf66422a3ccd577.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\vec{F}_3
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/5eb9e610ba2b682c.svg

@@ -0,0 +1,14 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='7.631108pt' height='8.612131pt' viewBox='167.632107 -10.704337 7.631108 8.612131'>
+<defs>
+<path id='g1-105' d='M2.259527-4.358655C2.259527-4.470237 2.175841-4.623661 1.980573-4.623661C1.792279-4.623661 1.590037-4.442341 1.590037-4.2401C1.590037-4.121544 1.680697-3.975093 1.868991-3.975093C2.071233-3.975093 2.259527-4.170361 2.259527-4.358655ZM.836862-.81594C.808966-.72528 .774097-.641594 .774097-.523039C.774097-.195268 1.053051 .069738 1.436613 .069738C2.133998 .069738 2.440847-.892653 2.440847-.99726C2.440847-1.08792 2.350187-1.08792 2.329265-1.08792C2.231631-1.08792 2.224658-1.046077 2.196762-.969365C2.036364-.411457 1.729514-.125529 1.457534-.125529C1.318057-.125529 1.283188-.216189 1.283188-.369614C1.283188-.530012 1.332005-.662516 1.39477-.81594C1.464508-1.004234 1.54122-1.192528 1.617933-1.373848C1.680697-1.54122 1.931756-2.175841 1.959651-2.259527C1.980573-2.329265 2.001494-2.412951 2.001494-2.48269C2.001494-2.810461 1.72254-3.075467 1.338979-3.075467C.648568-3.075467 .327771-2.127024 .327771-2.008468C.327771-1.917808 .425405-1.917808 .446326-1.917808C.54396-1.917808 .550934-1.952677 .571856-2.02939C.753176-2.629141 1.060025-2.880199 1.318057-2.880199C1.429639-2.880199 1.492403-2.824408 1.492403-2.636115C1.492403-2.475716 1.45056-2.371108 1.276214-1.93873L.836862-.81594Z'/>
+<path id='g0-114' d='M.876712-.587796C.846824-.438356 .787049-.209215 .787049-.159402C.787049 .019925 .926526 .109589 1.075965 .109589C1.195517 .109589 1.374844 .029888 1.444583-.169365C1.464508-.209215 1.803238-1.564134 1.843088-1.743462C1.92279-2.072229 2.102117-2.769614 2.161893-3.038605C2.201743-3.16812 2.480697-3.636364 2.719801-3.855542C2.799502-3.92528 3.088418-4.184309 3.516812-4.184309C3.775841-4.184309 3.92528-4.064757 3.935243-4.064757C3.636364-4.014944 3.417186-3.775841 3.417186-3.516812C3.417186-3.35741 3.526775-3.16812 3.795766-3.16812S4.343711-3.39726 4.343711-3.755915C4.343711-4.104608 4.024907-4.403487 3.516812-4.403487C2.86924-4.403487 2.430884-3.915318 2.241594-3.636364C2.161893-4.084682 1.803238-4.403487 1.334994-4.403487C.876712-4.403487 .687422-4.014944 .597758-3.835616C.418431-3.496887 .288917-2.899128 .288917-2.86924C.288917-2.769614 .388543-2.769614 .408468-2.769614C.508095-2.769614 .518057-2.779577 .577833-2.998755C.747198-3.706102 .946451-4.184309 1.305106-4.184309C1.474471-4.184309 1.613948-4.104608 1.613948-3.726027C1.613948-3.516812 1.58406-3.407223 1.454545-2.889166L.876712-.587796Z'/>
+<path id='g0-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='167.632107' y='-3.586587' xlink:href='#g0-126'/>
+<use x='167.949748' y='-3.586587' xlink:href='#g0-114'/>
+<use x='172.444487' y='-2.092206' xlink:href='#g1-105'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/5eb9e610ba2b682c.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+\vec{r}_i
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/5f4e4499e33519cd.svg

@@ -0,0 +1,10 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='7.779864pt' height='6.807795pt' viewBox='167.965603 -10.394382 7.779864 6.807795'>
+<defs>
+<path id='g0-80' d='M3.01868-3.148194H4.712329C6.127024-3.148194 7.511831-4.184309 7.511831-5.300125C7.511831-6.067248 6.854296-6.804483 5.549191-6.804483H2.321295C2.132005-6.804483 2.022416-6.804483 2.022416-6.615193C2.022416-6.495641 2.11208-6.495641 2.311333-6.495641C2.440847-6.495641 2.620174-6.485679 2.739726-6.475716C2.899128-6.455791 2.958904-6.425903 2.958904-6.316314C2.958904-6.276463 2.948941-6.246575 2.919054-6.127024L1.58406-.777086C1.484433-.388543 1.464508-.308842 .67746-.308842C.508095-.308842 .398506-.308842 .398506-.119552C.398506 0 .518057 0 .547945 0C.826899 0 1.534247-.029888 1.8132-.029888C2.022416-.029888 2.241594-.019925 2.450809-.019925C2.669988-.019925 2.889166 0 3.098381 0C3.16812 0 3.297634 0 3.297634-.199253C3.297634-.308842 3.20797-.308842 3.01868-.308842C2.650062-.308842 2.371108-.308842 2.371108-.488169C2.371108-.547945 2.391034-.597758 2.400996-.657534L3.01868-3.148194ZM3.73599-6.117061C3.825654-6.465753 3.845579-6.495641 4.273973-6.495641H5.230386C6.057285-6.495641 6.585305-6.22665 6.585305-5.539228C6.585305-5.150685 6.386052-4.293898 5.997509-3.935243C5.499377-3.486924 4.901619-3.407223 4.463263-3.407223H3.058531L3.73599-6.117061Z'/>
+</defs>
+<g id='page1'>
+<use x='167.965603' y='-3.586587' xlink:href='#g0-80'/>
+</g>
+</svg>

hs24/technische_mechanik/graphs/media/Tex/5f4e4499e33519cd.tex

@@ -0,0 +1,9 @@
+\documentclass[preview]{standalone}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\begin{document}
+\begin{align*}
+P
+\end{align*}
+\end{document}

hs24/technische_mechanik/graphs/media/Tex/6340d3a434a9f5ff.svg

@@ -0,0 +1,12 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.2.2 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='7.982275pt' height='9.636077pt' viewBox='167.960419 -13.222664 7.982275 9.636077'>
+<defs>
+<path id='g0-70' d='M3.01868-3.237858H3.985056C4.732254-3.237858 4.811955-3.078456 4.811955-2.789539C4.811955-2.719801 4.811955-2.600249 4.742217-2.30137C4.722291-2.251557 4.712329-2.211706 4.712329-2.191781C4.712329-2.11208 4.772105-2.072229 4.83188-2.072229C4.931507-2.072229 4.931507-2.102117 4.98132-2.281445L5.529265-4.443337C5.559153-4.552927 5.559153-4.572852 5.559153-4.60274C5.559153-4.622665 5.539228-4.712329 5.439601-4.712329S5.330012-4.662516 5.290162-4.503113C5.080946-3.726027 4.851806-3.5467 4.004981-3.5467H3.098381L3.73599-6.07721C3.825654-6.425903 3.835616-6.465753 4.273973-6.465753H5.589041C6.814446-6.465753 7.043587-6.136986 7.043587-5.369863C7.043587-5.140722 7.043587-5.100872 7.013699-4.83188C6.993773-4.702366 6.993773-4.682441 6.993773-4.652553C6.993773-4.60274 7.023661-4.533001 7.113325-4.533001C7.222914-4.533001 7.232877-4.592777 7.252802-4.782067L7.452055-6.505604C7.481943-6.774595 7.43213-6.774595 7.183064-6.774595H2.30137C2.102117-6.774595 2.002491-6.774595 2.002491-6.575342C2.002491-6.465753 2.092154-6.465753 2.281445-6.465753C2.650062-6.465753 2.929016-6.465753 2.929016-6.286426C2.929016-6.246575 2.929016-6.22665 2.879203-6.047323L1.564134-.777086C1.464508-.388543 1.444583-.308842 .657534-.308842C.488169-.308842 .37858-.308842 .37858-.119552C.37858 0 .498132 0 .52802 0C.816936 0 1.554172-.029888 1.843088-.029888C2.171856-.029888 2.998755 0 3.327522 0C3.417186 0 3.536737 0 3.536737-.18929C3.536737-.268991 3.476961-.288917 3.476961-.298879C3.447073-.308842 3.427148-.308842 3.198007-.308842C2.978829-.308842 2.929016-.308842 2.67995-.328767C2.391034-.358655 2.361146-.398506 2.361146-.52802C2.361146-.547945 2.361146-.607721 2.400996-.757161L3.01868-3.237858Z'/>
+<path id='g0-126' d='M5.349938-5.927771C5.210461-5.798257 4.881694-5.519303 4.881694-5.339975C4.881694-5.240349 4.98132-5.140722 5.080946-5.140722C5.17061-5.140722 5.220423-5.210461 5.270237-5.270237C5.389788-5.419676 5.618929-5.69863 6.057285-5.917808C6.127024-5.957659 6.22665-6.007472 6.22665-6.127024C6.22665-6.22665 6.156912-6.276463 6.087173-6.326276C5.867995-6.475716 5.758406-6.655044 5.678705-6.894147C5.65878-6.983811 5.618929-7.113325 5.479452-7.113325S5.280199-6.983811 5.280199-6.90411C5.280199-6.854296 5.3599-6.535492 5.519303-6.326276H2.161893C1.992528-6.326276 1.8132-6.326276 1.8132-6.127024S1.992528-5.927771 2.161893-5.927771H5.349938Z'/>
+</defs>
+<g id='page1'>
+<use x='169.428912' y='-6.104914' xlink:href='#g0-126'/>
+<use x='167.960419' y='-3.586587' xlink:href='#g0-70'/>
+</g>
+</svg>