Study of the stability of a block of mass in a stable, metastable and unstable state, and inbetween, using the forces, torques, pivot point and center of mass, and potential energy U = mgh.
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://courses.lumenlearning.com/physics/chapter/9-3-stability/\documentclass[border=3pt,tikz]{standalone}\usepackage{physics}\usepackage{siunitx}\usepackage{tikz}\usepackage[outline]{contour} % glow around text\usetikzlibrary{calc}\usetikzlibrary{angles,quotes} % for pic\usetikzlibrary{arrows.meta}\usetikzlibrary{patterns}\tikzset{>=latex} % for LaTeX arrow head\contourlength{1.35pt}\colorlet{xcol}{blue!70!black}\colorlet{vcol}{green!60!black}\colorlet{myred}{red!65!black}\colorlet{mydarkred}{red!45!black}\colorlet{mypurple}{blue!60!red!80}\colorlet{acol}{red!50!blue!80!black!80}\tikzstyle{rvec}=[->,xcol,very thick,line cap=round]\tikzstyle{vvec}=[->,vcol,very thick,line cap=round]\tikzstyle{myarr}=[{Latex[length=3,width=3]}-,xcol]\tikzstyle{myarr2}=[{Latex[length=2,width=3]}-{Latex[length=2,width=3]}]\tikzstyle{force}=[->,myred,very thick,line cap=round]\tikzstyle{Fproj}=[force,myred!40]\tikzstyle{myarr}=[{Latex[length=3,width=3]}-]\tikzstyle{CM}=[red!40!black,fill=red!80!black!80]\tikzstyle{mydashed}=[dash pattern=on 2 off 2]\tikzstyle{mass}=[line width=0.6,draw=red!30!black,rounded corners=1,top color=red!40!black!30,bottom color=red!40!black!10,shading angle=30]\tikzstyle{ground}=[preaction={fill,top color=black!10,bottom color=black!5,shading angle=20},fill,pattern=north east lines,draw=none,minimum width=0.3,minimum height=0.6]\tikzstyle{metal}=[fill,top color=black!40,bottom color=black!20,shading angle=10]\def\tick#1#2{\draw[thick] (#1) ++ (#2:0.1) --++ (#2-180:0.2)}\def\r{0.05} % pulley small radius\tikzset{pics/Tin/.style={code={
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