Non-inertial reference frame

The pseudo force (or fictitious force) due to the acceleration of a non-inertial frame of reference S'.reference_frame_noninertial-001.pngForce diagram of the mass in inertial 'lab' frame S:reference_frame_noninertial-002.pngForce diagram in the non-inertial frame S' with the pseudo force F'.reference_frame_noninertial-003.png

Edit and compile if you like:

% Author: Izaak Neutelings (September 2020)
\documentclass[border=3pt,tikz]{standalone}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage{physics}
\usetikzlibrary{calc}
\usetikzlibrary{angles,quotes} % for pic
\usetikzlibrary{arrows.meta} % for arrow size
\usetikzlibrary{bending} % for arrow head angle
\usetikzlibrary{patterns}
\tikzset{>=latex} % for LaTeX arrow head
\usepackage{xcolor}
\colorlet{xcol}{blue!70!black}
\colorlet{vcol}{green!45!black}
\colorlet{acol}{red!50!blue!80!black!80}
\tikzstyle{vvec}=[->,very thick,vcol,line cap=round]
\tikzstyle{avec}=[->,very thick,acol,line cap=round]
\colorlet{myred}{red!65!black}
\tikzstyle{force}=[->,myred,very thick,line cap=round]
\tikzstyle{Fproj}=[force,myred!40]
\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{mass}=[line width=0.5,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!70!black,line width=1,line cap=round] %very thick
\tikzstyle{myarr}=[-{Latex[length=3,width=2]},thin]
\def\rope#1{ \draw[rope,black,line width=1.4] #1; \draw[rope,line width=1.1] #1; }
\def\car{
\draw[thick,rounded corners=2,orange!60!black,
top color=orange!70!black!6,bottom color=orange!70!black!2,shading angle=10]
(0,1.1*\CR) rectangle++ (\CW,\CH);
\fill[black!20]
(0.15*\CW,\CR) circle(\CR) (0.85*\CW,\CR) circle(\CR);
\draw[black,fill=black!90,thin,even odd rule]
(0.15*\CW,\CR) circle(\CR) circle(0.5*\CR)
(0.85*\CW,\CR) circle(\CR) circle(0.5*\CR);
}
\begin{document}
 
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