Angular momentum

Angular momentum of a mass moving uniformly in a circle, or in a straight line.

For more related figures, please see the “angular momentum” or “torque” tags.

dynamics_angular_momentum-001.pngdynamics_angular_momentum-002.png

Edit and compile if you like:

% Author: Izaak Neutelings (October 2020)
\documentclass[border=3pt,tikz]{standalone}
\usepackage{physics}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{angles,quotes} % for pic
\usetikzlibrary{bending} % for arrow head angle
\tikzset{>=latex} % for LaTeX arrow head
\colorlet{xcol}{blue!70!black}
\colorlet{vcol}{green!60!black}
\colorlet{pcol}{red!60!black}
\colorlet{Lcol}{green!50!black}
\colorlet{myred}{red!65!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{pvec}=[->,pcol,very thick,line cap=round]
\tikzstyle{Lvec}=[->,Lcol,very thick,line cap=round]
\tikzstyle{mass}=[line width=0.6,red!30!black,draw=red!30!black, %rounded corners=1,
top color=red!40!black!30,bottom color=red!40!black!10,shading angle=30]
\begin{document}
% ANGULAR MOMENTUM
\begin{tikzpicture}
\def\R{1.9} % circle radius
\def\Ry{0.7} % circle radius
\def\r{1.4} % mass radius (inner sep)
\def\ang{-70} % mass angular position
\coordinate (O) at (0,0);
\coordinate (L) at (0,1.7*\Ry);
\coordinate (R) at (\ang:{\R} and \Ry);
\draw[xcol!80!black] (O) ellipse({\R} and \Ry);
\draw[pvec] (R) --++ (\ang+90:{0.6*\R} and 0.6*\Ry) node[right=-1] {$\vb{p}$};
\node[mass,circle,inner sep=2] (R') at (R) {};
\node[red!30!black,below=2] at (R') {$m$};
\draw[white,line width=2] (O) -- (L);
\draw[Lvec] (O) -- (L) node[below right=0] {$\vb{L}$};
 
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Click to download: dynamics_angular_momentum.texdynamics_angular_momentum.pdf
Open in Overleaf: dynamics_angular_momentum.tex

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