Stability on a tightrope

Study of the stability of a tightrope walker via moment of inertia, center of mass, and a restoring torque.
For more on stability, see the “stability” tag. These figures are used in Ben Kilminster’s lecture notes for PHY111.

dynamics_stability_tightrope-001.pngdynamics_stability_tightrope-002.pngdynamics_stability_tightrope-003.pngdynamics_stability_tightrope-004.png

Edit and compile if you like:

% Author: Izaak Neutelings (October 2020)
% Inspiration: https://tex.stackexchange.com/questions/25531/adding-underbrace-in-tikz
\documentclass[border=3pt,tikz]{standalone}
\usepackage{physics}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{angles,quotes} % for pic
\tikzset{>=latex} % for LaTeX arrow head
\colorlet{xcol}{blue!70!black}
\colorlet{vcol}{green!60!black}
\colorlet{myred}{red!65!black}
\colorlet{mypurple}{blue!60!red!80}
\colorlet{acol}{red!50!blue!80!black!80}
\tikzstyle{CM}=[red!40!black,fill=red!80!black!80]
\tikzstyle{rvec}=[->,xcol,very thick,line cap=round]
\tikzstyle{force}=[->,myred,very thick,line cap=round]
\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{rope}=[brown!30!black,fill=brown!70!black,line width=0.4]
\tikzstyle{limb}=[thick,line cap=round]
\tikzset{
pics/Tin/.style={
code={
\def\R{0.12}
\draw[pic actions,line width=0.6,#1,fill=white] % ,thick
(0,0) circle (\R) (-135:.75*\R) -- (45:.75*\R) (-45:.75*\R) -- (135:.75*\R);
}},
pics/Tout/.style={
code={
\def\R{0.12}
\draw[pic actions,line width=0.6,#1,fill=white] (0,0) circle (\R);
\fill[pic actions,#1] (0,0) circle (0.3*\R);
}},
pics/Tin/.default=mypurple,
pics/Tout/.default=mypurple,
}
\begin{document}
 
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Click to download: dynamics_stability_tightrope.texdynamics_stability_tightrope.pdf
Open in Overleaf: dynamics_stability_tightrope.tex

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