Art of Problem Solving

User:5849206328x: Difference between revisions

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<asy>
<asy>
import graph3;
import slopefield;
import slopefield;
import three;


size(288);
size(216);


real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;


// Label f;
// f.p=fontsize(6);
//xaxis(0,5);
//xaxis(0,5);
//yaxis(-2,3);
//yaxis(-2,3);
//real f(real x) { return 3 * (-1/x + 1/(2*x^2)); }
//pair g(real t) { return (0,6.3) + (0.4 * cos(pi * t/180), 0.2 * sin(pi * t/180)); }
draw((0,0)--(0,-5),dashed); draw((0,0)--(3,-4),linewidth(2)); draw((2,-8/3)--(2,-4),EndArrow);
label("$\theta$",(0,-0.5),E); label("$Mg$",(2,-4),S); label("$l$",(1.5,-2),NE);
//limits((-25,-25),(50,25),Crop);
</asy>
<!--
3D graphs
<asy>
import graph3;
import three;
size(288);
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;


currentprojection=orthographic(2,-2,1);
currentprojection=orthographic(2,-2,1);
Line 20: Line 37:


//real f(real x) { return 3 * (-1/x + 1/(2*x^2)); }
//real f(real x) { return 3 * (-1/x + 1/(2*x^2)); }
//pair g(real t) { return (0,6.3) + (0.4 * cos(pi * t/180), 0.2 * sin(pi * t/180)); }
//triple g(real t) { return (2 * cos(pi * t/180), 2 * sin(pi * t/180), 2.5); }
//triple h(real t) { return (2 * cos(pi * t/180), 2 * sin(pi * t/180), 2.5); }
//triple rot(real t) { return (0.2 * cos(pi * t/180), 0.2 * sin(pi * t/180), 4.5); }
triple rot(real t) { return (0.2 * cos(pi * t/180), 0.2 * sin(pi * t/180), 4.5); }


draw(scale(3,2,2)*unitdisk,palegrey); draw(graph(rot,-180,93),EndArrow3);
draw(scale(3,2,2)*unitdisk,palegrey); draw(graph(rot,-180,93),EndArrow3);
draw((0,0,5)--(0,0,0)); draw((0,5,0)--(0,0,0)); draw((5,0,0)--(0,0,0));
draw((0,0,5)--(0,0,0)); draw((0,5,0)--(0,0,0)); draw((5,0,0)--(0,0,0));
//limits((-25,-25),(50,25),Crop);
</asy>
</asy>
-->

Revision as of 17:45, 24 July 2015

[asy] import slopefield;  size(216);  real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;  //xaxis(0,5); //yaxis(-2,3);  //real f(real x) { return 3 * (-1/x + 1/(2*x^2)); } //pair g(real t) { return (0,6.3) + (0.4 * cos(pi * t/180), 0.2 * sin(pi * t/180)); }  draw((0,0)--(0,-5),dashed); draw((0,0)--(3,-4),linewidth(2)); draw((2,-8/3)--(2,-4),EndArrow); label("$\theta$",(0,-0.5),E); label("$Mg$",(2,-4),S); label("$l$",(1.5,-2),NE);  //limits((-25,-25),(50,25),Crop); [/asy]