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.
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}
Click to download: dynamics_stability_tightrope.tex • dynamics_stability_tightrope.pdf
Open in Overleaf: dynamics_stability_tightrope.tex