Moment of inertia (mini)

Some basic shapes that rotate to compute the moment of inertia: solid or hollow sphere, ring, disk, disk with a hole, solid cylinder, hollow cylinder.
Alternative diagrams are in this post. For more related figures, please see the “angular momentum” or “torque” tags.

dynamics_moment_of_inertia_mini-001.pngdynamics_moment_of_inertia_mini-002.pngdynamics_moment_of_inertia_mini-003.pngdynamics_moment_of_inertia_mini-004.pngdynamics_moment_of_inertia_mini-005.pngdynamics_moment_of_inertia_mini-006.pngdynamics_moment_of_inertia_mini-007.pngdynamics_moment_of_inertia_mini-008.pngdynamics_moment_of_inertia_mini-009.pngdynamics_moment_of_inertia_mini-011.png

Edit and compile if you like:

% Author: Izaak Neutelings (January 2021)
\documentclass[border=3pt,tikz]{standalone}
\usepackage{physics}
\usepackage{tikz}
\usepackage[outline]{contour} % glow around text
\usetikzlibrary{calc}
\usetikzlibrary{angles,quotes} % for pic
\usetikzlibrary{arrows.meta}
\usetikzlibrary{patterns}
\usetikzlibrary{bending} % for arrow head angle
\tikzset{>=latex} % for LaTeX arrow head
\contourlength{0.8pt}
\colorlet{xcol}{blue!70!black}
\colorlet{myred}{red!65!black}
\tikzstyle{rvec}=[->,xcol,very thick,line cap=round]
\tikzstyle{mass line}=[line width=0.5,draw=red!30!black]
\tikzstyle{myarr}=[-{Latex[length=3,width=2]},blue!40!black]
\tikzstyle{myarr2}=[{Latex[length=3,width=2]}-{Latex[length=3,width=2]},blue!40!black]
\tikzstyle{mass}=[mass line, %rounded corners=1,
top color=red!40!black!30,bottom color=red!40!black!10,shading angle=30]
\tikzstyle{middle mass}=[mass line,top color=red!40!black!50,bottom color=red!40!black!50,
middle color=red!40!black!10,shading angle=30]
\def\r{0.05} % pulley small radius
\tikzset{
pics/rotarr/.style={
code={
\draw[white,line width=0.8] ({#1*cos(210)},0) arc(-210:35:{#1} and {0.35*#1});
\draw[-{>[flex'=1]}] ({#1*cos(210)},0) coordinate (W1) arc(-210:35:{#1} and {0.35*#1})
node[midway] (W2) {} --++ (150:0.1) coordinate (W3);
}},
pics/rotarr/.default=0.3,
}
\begin{document}
\LARGE
% MOMENT OF INERTIA - masses on rods
\def\ang{-20} % angle of whole picture
 
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Click to download: dynamics_moment_of_inertia_mini.texdynamics_moment_of_inertia_mini.pdf
Open in Overleaf: dynamics_moment_of_inertia_mini.tex

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