Stability of a block of mass

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.

dynamics_stability_block-001.pngdynamics_stability_block-002.pngdynamics_stability_block-003.pngdynamics_stability_block-004.pngdynamics_stability_block-005.png

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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Click to download: dynamics_stability_block.texdynamics_stability_block.pdf
Open in Overleaf: dynamics_stability_block.tex

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