Tension in ropes

Some diagrams of basic physics problems involving masses and ropes.
For more related figures, please see the “forces” or “Newton’s laws” tag.

Tension in rope suspending a mass from the ceiling:

Tensions on either ends of a rope segment:

Different mass-rope configurations:

Pulling on a rope:

Edit and compile if you like:

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
% Author: Izaak Neutelings (September 2020)
% Inspiration: https://tex.stackexchange.com/questions/25531/adding-underbrace-in-tikz
\documentclass[border=3pt,tikz]{standalone}
\usepackage{physics}
\usepackage{ifthen}
\usepackage{tikz}
\usetikzlibrary{patterns}
\tikzset{>=latex} % for LaTeX arrow head
\colorlet{myred}{red!65!black}
\tikzstyle{ground}=[preaction={fill,top color=black!10,bottom color=black!5,shading angle=20},
                    pattern=north east lines,draw=none,minimum width=0.3,minimum height=0.6]
\tikzstyle{mass}=[line width=0.6,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=2] %very thick
\def\rope#1{ \draw[black,line width=2.3] #1; \draw[rope] #1; }
% FORCES SWITCH
\tikzstyle{force}=[->,myred,thick,line cap=round]
\newcommand{\vbF}{\vb{F}}
\newcommand{\vbT}{\vb{T}}
\newboolean{showforces}
\setboolean{showforces}{true}
\begin{document}
% VERTICAL ceiling
\def\h{0.6} % mass height
\def\w{0.7} % mass width
\begin{tikzpicture}
  \def\W{2.0} % ground width
  \def\D{0.2} % ground depth
  \def\H{3.0} % ground depth
  \def\y{0.5*\H} % mass y coordinate
  \rope{(0,\H) -- (0,\y)}
  \draw[ground] (-\W/2,\H) rectangle++ (\W,\D);
  \draw (-\W/2,\H) --++ (\W,0);
  \draw[mass] (-\w/2,\y) rectangle++ (\w,\h) node[midway] {$m$};
  
  % FORCES
 
 
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX