File:AnimatedPendulum.gif
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Original file (626 × 733 pixels, file size: 247 KB, MIME type: image/gif, looped, 18 frames, 3.6 s)
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Summary edit
DescriptionAnimatedPendulum.gif |
English: animated pendulum
Deutsch: animiertes Fadenpendel |
Date | |
Source | Own work |
Author | And1mu |
Source Code edit
created with LaTeX and PGF/TikZ |
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Script to create the animation: #!/bin/bash
set -eu
DIR="animate"
FILE="Pendulum"
NUM=0
rm -f ${DIR}/frame???.png
for ANG in $(seq 0 20 350) ; do
POS=$(echo "30*c($ANG/45*a(1))" | bc -l)
echo $POS $ANG
sed -i "s/\\\def\\\a{.\+}/\\\def\\\a{$POS}/" $FILE.tex
echo "Creating frame $NUM for $ANG ..."
pdflatex -shell-escape $FILE.tex 1> /dev/null
echo "Convert to png ..."
NUMSTR=$(printf "%03d" $NUM)
convert -density 300 ${FILE}01.svg -shave 3 ${DIR}/frame${NUMSTR}.png
NUM=$(($NUM+1))
done
cd $DIR
convert -delay 20 -loop 10000 frame*.png ${FILE}.gif
cd -
The code to create a single frame: \documentclass[crop,border=5,tikz,convert={outext=,
command=\unexpanded{pdf2svg \infile\space\outfile\%02d.svg
all}},multi=false]{standalone}
\usetikzlibrary{calc,patterns}
\newcommand{\markangle}[6][0.25]{
\begin{scope}
\clip (#2)--(#3)--(#4);
\node (ANG) [draw, circle, minimum size=#5] at (#3){};
\end{scope}
\coordinate (E1) at (intersection 0 of ANG and #3--#2);
\coordinate (E2) at (intersection 0 of ANG and #3--#4);
\coordinate (EM) at ($ (E1)!0.5!(E2) $);
\coordinate (EM) at ($ (EM)!#1!(#3) $);
\node at (EM) {#6};
}
\def\a{-30}
\begin{document}
\begin{tikzpicture}[>=latex,scale=1]
\fill[white] (-2.5,-5.6) rectangle (2.5,0.3);
\coordinate (m) at (-90+\a:3);
\coordinate (maxA) at (-50:3);
\coordinate (S) at (0,-3.5);
\coordinate (F) at ($ (0,0)!1.6!(m) $);
\coordinate (Frad) at ($ (0,0)!1.6!(m) $);
\coordinate (Ftan) at ($ (m)+(\a:3) $);
\coordinate (Fel) at ($ (m)+(2,0) $);
\coordinate (Fg) at ($ (m)+(0,-2) $);
\fill[pattern = north east lines] (-1,0) rectangle (1,0.3);
\fill (0,0) circle (0.5mm);
\draw[color=red,dashed] (maxA) arc (-50:-130:3);
\draw[semithick,dotted] (0,0)--(S);
\shade[ball color=gray!50] (m) circle (3mm)
node[] {$m$};
\draw[thick] (-1,0)--(1,0);
\markangle{S}{0,0}{m}{79}{\small $\alpha$}
\markangle{Fg}{m}{F}{60}{\small $\alpha$}
\draw[thick,blue!50!black] (0,0)--(m)
node[midway,fill=white,shift={(-90+\a:0.3)},inner sep=0.8]{\small $l$};
\draw[thick,->,black!50!green] (m)--(Fg)
node[below,shift={(0,0.1)}]{\small $m\vec{g}$};
\draw[thick,black!50!green,->] (m)--($(m)!(Fg)!(Frad)$);
%node[midway,right]{$\vec{F}_\mathrm{rad}$};
\draw[semithick,dotted,black!50!green]($(m)!(Fg)!(Ftan)$)--(Fg);
\draw[semithick,dotted,black!50!green]($(m)!(Fg)!(Frad)$)--(Fg);
\draw[thick,black!50!green,->] (m)--($(m)!(Fg)!(Ftan)$);
%node[below,inner sep=1]{$\vec{F}_\mathrm{tan}$};
\draw[color=red,very thick,<-] (m) arc (-90+\a:-90:3)
node[midway,above]{\small $x$};
\end{tikzpicture}
\end{document}
|
Licensing edit
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 16:05, 17 October 2017 | 626 × 733 (247 KB) | And1mu (talk | contribs) | User created page with UploadWizard |
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