From b492fb3ba89205b984c390a39cc9f57d4b2059fa Mon Sep 17 00:00:00 2001
From: samuel niederer <samuel.niederer@ost.ch>
Date: Thu, 19 May 2022 18:00:01 +0200
Subject: add tick figure of simple mass system
---
buch/papers/kra/images/simple_mass_spring.tex | 64 +++++++++++++++++++++++++++
1 file changed, 64 insertions(+)
create mode 100644 buch/papers/kra/images/simple_mass_spring.tex
(limited to 'buch/papers/kra')
diff --git a/buch/papers/kra/images/simple_mass_spring.tex b/buch/papers/kra/images/simple_mass_spring.tex
new file mode 100644
index 0000000..e98ee3e
--- /dev/null
+++ b/buch/papers/kra/images/simple_mass_spring.tex
@@ -0,0 +1,64 @@
+% create tikz drawing of a simple mass spring system
+
+\tikzstyle{hmline}=[{Latex[length=3.3,width=2.2]}-{Latex[length=3.3,width=2.2]},line width=0.3]
+\tikzstyle{vmline}=[red, dashed,line width=0.4,dash pattern=on 1pt off 1pt]
+\tikzstyle{ground}=[pattern=north east lines]
+\tikzstyle{mass}=[line width=0.6,red!30!black,fill=red!40!black!10,rounded corners=1,top color=red!40!black!20,bottom color=red!40!black!10,shading angle=20]
+\tikzstyle{spring}=[line width=0.8,blue!7!black!80,snake=coil,segment amplitude=5,line cap=round]
+
+\begin{tikzpicture}[scale=2]
+ \newcommand{\ticks}[2]
+ {
+ % arguments: x, y coordinates
+ \draw[thick] (#1, #2 - 0.1 / 2) --++ (0, 0.1);
+ }
+
+ \tikzmath{
+ \hWall = 1.5;
+ \wWall = 0.3;
+ \lWall = 3.5;
+ \hMass = 0.6;
+ \wMass = 1.1;
+ \xMass1 = 1.2;
+ \xMass2 = 2.2;
+ \xAxisYpos = 0;
+ \originX1 = 0;
+ \originY1 = 0.5;
+ \originX2 = 0;
+ \originY2 = -2;
+ \springscale=7;
+ }
+
+ % create x axis
+ \draw[->,thick] (0,\xAxisYpos) --+ (\lWall, 0) node[right]{$x$};
+
+ % create ticks on x axis
+ \ticks{\wWall}{\xAxisYpos}
+ \ticks{\xMass1}{\xAxisYpos}
+ \ticks{\xMass2}{\xAxisYpos}
+
+ % create underground
+ \draw[ground] (\originX1, \originY1) ++ (0, 0) --+(\lWall,0) --+(\lWall, \wWall) --+(\wWall, \wWall) --+(\wWall, \hWall) --+(0, \hWall) -- cycle;
+ \draw[ground] (\originX2, \originY2) ++ (0, 0) --+(\lWall,0) --+(\lWall, \wWall) --+(\wWall, \wWall) --+(\wWall, \hWall) --+(0, \hWall) -- cycle;
+
+ % create masses
+ \draw[mass] (\originX1, \originY1) ++ (\xMass1, \wWall) rectangle ++ (\wMass,\hMass) node[midway] {$m$};
+ \draw[mass] (\originX2, \originY2) ++ (\xMass2, \wWall) rectangle ++ (\wMass,\hMass) node[midway] {$m$};
+
+ % create springs
+ \draw[spring, segment length=(\xMass1 - \wWall) * \springscale] (\originX1, \originY1) ++ (\wWall, \wWall + \hMass / 2) --+ (\xMass1 - \wWall, 0);
+ \draw[spring, segment length=(\xMass2 - \wWall) * \springscale] (\originX2, \originY2) ++ (\wWall, \wWall + \hMass / 2) --+ (\xMass2 - \wWall, 0);
+
+ % create vertical measurement line
+ \draw[vmline] (\xMass1, \xAxisYpos) --+(0, \originY1 + \wWall);
+ \draw[vmline] (\xMass2, \xAxisYpos) --+(0, \originY2 + \hMass+\wWall);
+ \draw[vmline] (\wWall, \originY1+\wWall) --(\wWall, \originY2 + \hWall);
+
+ % create horizontal measurement line
+ \draw[hmline] (\wWall, \xAxisYpos + 0.2) -- (\xMass1, \xAxisYpos + 0.2) node[midway,fill=white,inner sep=0] {$\ell_0$};
+ \draw[hmline] (\xMass1, \xAxisYpos + 0.2) -- (\xMass2, \xAxisYpos + 0.2) node[midway,fill=white,inner sep=0] {$\Delta_{x}$};
+ \draw[hmline] (\wWall, \xAxisYpos - 0.3) -- (\xMass2, \xAxisYpos - 0.3) node[midway,fill=white,inner sep=0] {$\ell_{1}$};
+
+ % create force arrow
+ \draw[->,blue, very thick,line cap=round] (\xMass2 + \wMass / 2, \originY2 + \wWall + \hMass + 0.15) node[above] {$\vb{F_{R}}$} --+ (-0.5, 0);
+\end{tikzpicture}
\ No newline at end of file
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