TeX - LaTeX Asked on August 1, 2021
I have created now this with Mathcha but I would not have been able to create the movement of the peg placed upon the vinyl record. And this is the reason because I have asked the question: The relationship between circular motion and simple harmonic motion in LaTeX
Here there is my MWE:
documentclass[a4paper,12pt]{article}
usepackage{newtxtext,newtxmath}
usepackage{tikz}
usetikzlibrary{patterns}
begin{document}
% Gradient Info
tikzset {_e96s6lwbv/.code = {pgfsetadditionalshadetransform{ pgftransformshift{pgfpoint{0 bp } { 0 bp } } pgftransformrotate{0 } pgftransformscale{2 } }}}
pgfdeclarehorizontalshading{_1unhpm2cg}{150bp}{rgb(0bp)=(0.92,0.9,0.9);
rgb(40.267857142857146bp)=(0.92,0.9,0.9);
rgb(50.26785714285714bp)=(0.61,0.61,0.61);
rgb(60.26785714285714bp)=(0.9,0.9,0.9);
rgb(100bp)=(0.9,0.9,0.9)}
% Pattern Info
tikzset{
pattern size/.store in=mcSize,
pattern size = 5pt,
pattern thickness/.store in=mcThickness,
pattern thickness = 0.3pt,
pattern radius/.store in=mcRadius,
pattern radius = 1pt}
makeatletter
pgfutil@ifundefined{pgf@pattern@name@_znu0qeqi8}{
pgfdeclarepatternformonly[mcThickness,mcSize]{_znu0qeqi8}
{pgfqpoint{0pt}{0pt}}
{pgfpoint{mcSize+mcThickness}{mcSize+mcThickness}}
{pgfpoint{mcSize}{mcSize}}
{
pgfsetcolor{tikz@pattern@color}
pgfsetlinewidth{mcThickness}
pgfpathmoveto{pgfqpoint{0pt}{0pt}}
pgfpathlineto{pgfpoint{mcSize+mcThickness}{mcSize+mcThickness}}
pgfusepath{stroke}
}}
makeatother
% Gradient Info
tikzset {_l2x7lbo55/.code = {pgfsetadditionalshadetransform{ pgftransformshift{pgfpoint{0 bp } { 0 bp } } pgftransformrotate{0 } pgftransformscale{2 } }}}
pgfdeclarehorizontalshading{_zwwqu9793}{150bp}{rgb(0bp)=(0.67,0.85,0.92);
rgb(37.5bp)=(0.67,0.85,0.92);
rgb(62.5bp)=(0.72,0.81,0.91);
rgb(100bp)=(0.72,0.81,0.91)}
% Gradient Info
tikzset {_iixxc4hso/.code = {pgfsetadditionalshadetransform{ pgftransformshift{pgfpoint{0 bp } { 0 bp } } pgftransformscale{1 } }}}
pgfdeclareradialshading{_70e8j7s84}{pgfpoint{0bp}{0bp}}{rgb(0bp)=(0.84,0.81,0.65);
rgb(0bp)=(0.84,0.81,0.65);
rgb(21.160714285714285bp)=(0.91,0.83,0.34);
rgb(400bp)=(0.91,0.83,0.34)}
% Gradient Info
tikzset {_qhd5d8xe7/.code = {pgfsetadditionalshadetransform{ pgftransformshift{pgfpoint{0 bp } { 0 bp } } pgftransformscale{1 } }}}
pgfdeclareradialshading{_nh0a1sb98}{pgfpoint{0bp}{0bp}}{rgb(0bp)=(0.84,0.81,0.65);
rgb(0bp)=(0.84,0.81,0.65);
rgb(21.160714285714285bp)=(0.91,0.83,0.34);
rgb(400bp)=(0.91,0.83,0.34)}
% Gradient Info
tikzset {_e3qb8npov/.code = {pgfsetadditionalshadetransform{ pgftransformshift{pgfpoint{0 bp } { 0 bp } } pgftransformscale{1 } }}}
pgfdeclareradialshading{_yaqm3gfj3}{pgfpoint{0bp}{0bp}}{rgb(0bp)=(0.84,0.81,0.65);
rgb(0bp)=(0.84,0.81,0.65);
rgb(21.160714285714285bp)=(0.91,0.83,0.34);
rgb(400bp)=(0.91,0.83,0.34)}
tikzset{every picture/.style={line width=0.75pt}} %set default line width to 0.75pt
begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
%uncomment if require: path (0,428); %set diagram left start at 0, and has height of 428
%Shape: Rectangle [id:dp11219219192531948]
draw [fill={rgb, 255:red, 248; green, 248; blue, 248 } ,fill opacity=1 ] (174.78,70.72) -- (471,164) -- (473.05,291.57) -- (176.83,198.29) -- cycle ;
%Shape: Rectangle [id:dp8571525161699813]
path [shading=_1unhpm2cg,_e96s6lwbv] (176.55,133.32) -- (472.14,227.03) -- (473.05,291.57) -- (177.46,197.87) -- cycle ; % for fading
draw [dash pattern={on 0.84pt off 2.51pt}] (176.55,133.32) -- (472.14,227.03) -- (473.05,291.57) -- (177.46,197.87) -- cycle ; % for border
%Shape: Cube [id:dp6989408399731811]
draw [color={rgb, 255:red, 139; green, 87; blue, 42 } ,draw opacity=1 ][pattern=_znu0qeqi8,pattern size=6pt,pattern thickness=0.75pt,pattern radius=0pt, pattern color={rgb, 255:red, 155; green, 82; blue, 20}] (127.04,252.31) -- (213.69,189.69) -- (391,241) -- (387.96,286.69) -- (301.31,349.31) -- (124,298) -- cycle ; draw [color={rgb, 255:red, 139; green, 87; blue, 42 } ,draw opacity=1 ] (391,241) -- (304.35,303.62) -- (127.04,252.31) ; draw [color={rgb, 255:red, 139; green, 87; blue, 42 } ,draw opacity=1 ] (304.35,303.62) -- (301.31,349.31) ;
%Shape: Cube [id:dp44261782922910164]
path [shading=_zwwqu9793,_l2x7lbo55] (140.42,236.83) -- (225.27,175.51) -- (379,220) -- (377.83,237.62) -- (292.98,298.94) -- (139.25,254.46) -- cycle ; % for fading
draw [color={rgb, 255:red, 255; green, 255; blue, 255 } ,draw opacity=1 ] (140.42,236.83) -- (225.27,175.51) -- (379,220) -- (377.83,237.62) -- (292.98,298.94) -- (139.25,254.46) -- cycle ; % for border
draw [color={rgb, 255:red, 255; green, 255; blue, 255 } ,draw opacity=1 ] (379,220) -- (294.15,281.32) -- (140.42,236.83) ; draw [color={rgb, 255:red, 255; green, 255; blue, 255 } ,draw opacity=1 ] (294.15,281.32) -- (292.98,298.94) ;
%Shape: Ellipse [id:dp00007934388413799454]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ][line width=2.25] (190.59,216.97) .. controls (193.72,197.21) and (227.46,186.14) .. (265.94,192.24) .. controls (304.43,198.33) and (333.1,219.29) .. (329.97,239.05) .. controls (326.84,258.8) and (293.1,269.88) .. (254.61,263.78) .. controls (216.12,257.68) and (187.46,236.73) .. (190.59,216.97) -- cycle ;
%Shape: Ellipse [id:dp4689030903340141]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ][line width=0.75] (196.86,216.65) .. controls (199.55,199.67) and (230.28,190.43) .. (265.51,196.01) .. controls (300.73,201.58) and (327.1,219.87) .. (324.41,236.85) .. controls (321.72,253.83) and (290.99,263.08) .. (255.77,257.5) .. controls (220.55,251.92) and (194.17,233.63) .. (196.86,216.65) -- cycle ;
%Shape: Ellipse [id:dp16070988746539716]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ][line width=0.75] (204,217.74) .. controls (206.34,202.94) and (233.88,195) .. (265.51,200.01) .. controls (297.13,205.01) and (320.87,221.07) .. (318.52,235.88) .. controls (316.18,250.68) and (288.64,258.62) .. (257.02,253.61) .. controls (225.39,248.6) and (201.65,232.54) .. (204,217.74) -- cycle ;
%Shape: Ellipse [id:dp9029753738197073]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][line width=0.75] (220.48,220.77) .. controls (221.87,210.5) and (240.78,204.58) .. (262.72,207.54) .. controls (284.66,210.5) and (301.33,221.23) .. (299.94,231.5) .. controls (298.55,241.77) and (279.64,247.69) .. (257.7,244.73) .. controls (235.76,241.77) and (219.09,231.04) .. (220.48,220.77) -- cycle ;
%Shape: Ellipse [id:dp23388780189398362]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][line width=0.75] (210.93,218.33) .. controls (212.86,206.14) and (236.48,199.76) .. (263.7,204.07) .. controls (290.92,208.38) and (311.42,221.76) .. (309.49,233.94) .. controls (307.56,246.12) and (283.93,252.51) .. (256.72,248.19) .. controls (229.5,243.88) and (209,230.51) .. (210.93,218.33) -- cycle ;
%Shape: Ellipse [id:dp24232637107174337]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][line width=0.75] (226.78,220.5) .. controls (228.23,211.76) and (244.54,207.19) .. (263.21,210.29) .. controls (281.88,213.39) and (295.84,222.99) .. (294.39,231.73) .. controls (292.94,240.47) and (276.62,245.04) .. (257.95,241.94) .. controls (239.28,238.84) and (225.32,229.24) .. (226.78,220.5) -- cycle ;
%Shape: Ellipse [id:dp8298756923891446]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][fill={rgb, 255:red, 248; green, 231; blue, 28 } ,fill opacity=1 ][line width=0.75] (228.78,220.5) .. controls (229.97,212.96) and (244.86,209.05) .. (262.02,211.76) .. controls (279.19,214.48) and (292.14,222.8) .. (290.94,230.35) .. controls (289.75,237.89) and (274.86,241.8) .. (257.7,239.08) .. controls (240.53,236.37) and (227.58,228.05) .. (228.78,220.5) -- cycle ;
%Shape: Can [id:dp3180414705255403]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][fill={rgb, 255:red, 255; green, 255; blue, 255 } ,fill opacity=1 ] (256.57,213.26) -- (256.57,227.17) .. controls (256.57,227.7) and (258.05,228.13) .. (259.89,228.13) .. controls (261.72,228.13) and (263.21,227.7) .. (263.21,227.17) -- (263.21,213.26) .. controls (263.21,212.73) and (261.72,212.29) .. (259.89,212.29) .. controls (258.05,212.29) and (256.57,212.73) .. (256.57,213.26) .. controls (256.57,213.8) and (258.05,214.23) .. (259.89,214.23) .. controls (261.72,214.23) and (263.21,213.8) .. (263.21,213.26) ;
%Shape: Can [id:dp3814217371586581]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][fill={rgb, 255:red, 155; green, 155; blue, 155 } ,fill opacity=1 ] (311.68,162.16) -- (311.68,176.06) .. controls (311.68,176.6) and (313.17,177.03) .. (315.01,177.03) .. controls (316.84,177.03) and (318.33,176.6) .. (318.33,176.06) -- (318.33,162.16) .. controls (318.33,161.62) and (316.84,161.19) .. (315.01,161.19) .. controls (313.17,161.19) and (311.68,161.62) .. (311.68,162.16) .. controls (311.68,162.69) and (313.17,163.13) .. (315.01,163.13) .. controls (316.84,163.13) and (318.33,162.69) .. (318.33,162.16) ;
%Shape: Can [id:dp9354524854309667]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][fill={rgb, 255:red, 226; green, 226; blue, 226 } ,fill opacity=1 ] (249.68,143.16) -- (249.68,157.06) .. controls (249.68,157.6) and (251.17,158.03) .. (253.01,158.03) .. controls (254.84,158.03) and (256.33,157.6) .. (256.33,157.06) -- (256.33,143.16) .. controls (256.33,142.62) and (254.84,142.19) .. (253.01,142.19) .. controls (251.17,142.19) and (249.68,142.62) .. (249.68,143.16) .. controls (249.68,143.69) and (251.17,144.13) .. (253.01,144.13) .. controls (254.84,144.13) and (256.33,143.69) .. (256.33,143.16) ;
%Shape: Can [id:dp91279778337644]
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ][fill={rgb, 255:red, 226; green, 226; blue, 226 } ,fill opacity=1 ] (379.68,184.16) -- (379.68,198.06) .. controls (379.68,198.6) and (381.17,199.03) .. (383.01,199.03) .. controls (384.84,199.03) and (386.33,198.6) .. (386.33,198.06) -- (386.33,184.16) .. controls (386.33,183.62) and (384.84,183.19) .. (383.01,183.19) .. controls (381.17,183.19) and (379.68,183.62) .. (379.68,184.16) .. controls (379.68,184.69) and (381.17,185.13) .. (383.01,185.13) .. controls (384.84,185.13) and (386.33,184.69) .. (386.33,184.16) ;
%Shape: Can [id:dp5959842751554034]
path [shading=_70e8j7s84,_iixxc4hso] (198.57,194.26) -- (198.57,208.17) .. controls (198.57,208.7) and (200.05,209.13) .. (201.89,209.13) .. controls (203.72,209.13) and (205.21,208.7) .. (205.21,208.17) -- (205.21,194.26) .. controls (205.21,193.73) and (203.72,193.29) .. (201.89,193.29) .. controls (200.05,193.29) and (198.57,193.73) .. (198.57,194.26) .. controls (198.57,194.8) and (200.05,195.23) .. (201.89,195.23) .. controls (203.72,195.23) and (205.21,194.8) .. (205.21,194.26) ; % for fading
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ] (198.57,194.26) -- (198.57,208.17) .. controls (198.57,208.7) and (200.05,209.13) .. (201.89,209.13) .. controls (203.72,209.13) and (205.21,208.7) .. (205.21,208.17) -- (205.21,194.26) .. controls (205.21,193.73) and (203.72,193.29) .. (201.89,193.29) .. controls (200.05,193.29) and (198.57,193.73) .. (198.57,194.26) .. controls (198.57,194.8) and (200.05,195.23) .. (201.89,195.23) .. controls (203.72,195.23) and (205.21,194.8) .. (205.21,194.26) ; % for border
%Curve Left Arrow [id:dp4586721397182332]
draw [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ] (174.96,230.68) .. controls (173.57,221.36) and (179.52,212.71) .. (188.26,211.38) -- (188.32,211.8) .. controls (179.59,213.14) and (173.63,221.78) .. (175.03,231.1) ;draw [color={rgb, 255:red, 0; green, 0; blue, 0 } ,draw opacity=1 ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ] (175.03,231.1) .. controls (175.83,236.48) and (178.9,240.91) .. (183.04,243.44) -- (183.61,247.3) -- (193.33,245.34) -- (182.39,239.15) -- (182.97,243.01) .. controls (178.84,240.49) and (175.76,236.06) .. (174.96,230.68)(175.03,231.1) -- (174.96,230.68) ;
%Straight Lines [id:da36438391810809145]
draw (185.77,35.33) -- (487.59,130.37) ;
draw [shift={(490.45,131.27)}, rotate = 197.48] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ;
%Straight Lines [id:da6105386313883943]
draw (338.11,83.3) -- (353.11,69.3) ;
%Straight Lines [id:da18303073174683426]
draw (412,106) -- (427,92) ;
%Straight Lines [id:da2554028578787002]
draw (270.11,61.3) -- (285.11,47.3) ;
%Shape: Can [id:dp5166414046947045]
path [shading=_nh0a1sb98,_qhd5d8xe7] (318.52,235.88) -- (318.52,249.78) .. controls (318.52,250.31) and (320.01,250.75) .. (321.85,250.75) .. controls (323.68,250.75) and (325.17,250.31) .. (325.17,249.78) -- (325.17,235.88) .. controls (325.17,235.34) and (323.68,234.91) .. (321.85,234.91) .. controls (320.01,234.91) and (318.52,235.34) .. (318.52,235.88) .. controls (318.52,236.41) and (320.01,236.85) .. (321.85,236.85) .. controls (323.68,236.85) and (325.17,236.41) .. (325.17,235.88) ; % for fading
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ] (318.52,235.88) -- (318.52,249.78) .. controls (318.52,250.31) and (320.01,250.75) .. (321.85,250.75) .. controls (323.68,250.75) and (325.17,250.31) .. (325.17,249.78) -- (325.17,235.88) .. controls (325.17,235.34) and (323.68,234.91) .. (321.85,234.91) .. controls (320.01,234.91) and (318.52,235.34) .. (318.52,235.88) .. controls (318.52,236.41) and (320.01,236.85) .. (321.85,236.85) .. controls (323.68,236.85) and (325.17,236.41) .. (325.17,235.88) ; % for border
%Straight Lines [id:da8007660488735489]
draw [dash pattern={on 4.5pt off 4.5pt}] (318.33,176.06) -- (288.45,202.58) ;
%Shape: Can [id:dp8663586030331742]
path [shading=_yaqm3gfj3,_e3qb8npov] (285.57,189.26) -- (285.57,203.17) .. controls (285.57,203.7) and (287.05,204.13) .. (288.89,204.13) .. controls (290.72,204.13) and (292.21,203.7) .. (292.21,203.17) -- (292.21,189.26) .. controls (292.21,188.73) and (290.72,188.29) .. (288.89,188.29) .. controls (287.05,188.29) and (285.57,188.73) .. (285.57,189.26) .. controls (285.57,189.8) and (287.05,190.23) .. (288.89,190.23) .. controls (290.72,190.23) and (292.21,189.8) .. (292.21,189.26) ; % for fading
draw [color={rgb, 255:red, 155; green, 155; blue, 155 } ,draw opacity=1 ] (285.57,189.26) -- (285.57,203.17) .. controls (285.57,203.7) and (287.05,204.13) .. (288.89,204.13) .. controls (290.72,204.13) and (292.21,203.7) .. (292.21,203.17) -- (292.21,189.26) .. controls (292.21,188.73) and (290.72,188.29) .. (288.89,188.29) .. controls (287.05,188.29) and (285.57,188.73) .. (285.57,189.26) .. controls (285.57,189.8) and (287.05,190.23) .. (288.89,190.23) .. controls (290.72,190.23) and (292.21,189.8) .. (292.21,189.26) ; % for border
%Straight Lines [id:da5225881545731741]
draw [dash pattern={on 4.5pt off 4.5pt}] (253.01,158.03) -- (199.89,209.13) ;
%Straight Lines [id:da19657973147412733]
draw [dash pattern={on 4.5pt off 4.5pt}] (385,202) -- (325.17,249.78) ;
% Text Node
draw (259.66,17.66) node [anchor=north west][inner sep=0.75pt] [rotate=-17.91,xslant=-0.28] {$x=-A$};
% Text Node
draw (411.66,65.66) node [anchor=north west][inner sep=0.75pt] [rotate=-17.91,xslant=-0.28] {$x=+A$};
% Text Node
draw (337.66,43.66) node [anchor=north west][inner sep=0.75pt] [rotate=-17.91,xslant=-0.28] {$x=0$};
% Text Node
draw (492.21,135.41) node [anchor=north west][inner sep=0.75pt] [rotate=-17.91,xslant=-0.28] {$x$};
end{tikzpicture}
end{document}
Just it is onlyu a curiosity: is it possible to animate my code? Otherwise is it possible to animate a code created with Mathcha?
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