Art of Problem Solving

User:5849206328x: Difference between revisions

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// Label f;
// Label f;
// f.p=fontsize(6);
// f.p=fontsize(6);
xaxis(-4,4);
//xaxis(-4,4);
yaxis(-4,4);
//yaxis(-4,4);


real f1(real x) { return (-2) * cos(x); }
//real f1(real x) { return (-2) * cos(x); }


draw(graph(f1,-4,4));
//draw(graph(f1,-4,4));
draw((-pi,-0.1)--(-pi,0.1)); draw((pi,-0.1)--(pi,0.1));
draw((-0.1,2)--(0.1,2)); draw((-0.1,-2)--(0.1,-2));
draw((-2,-0.1)--(-2,0.1)); draw((2,-0.1)--(2,0.1));


draw((-2,f1(2))--(2,f1(2)),dashed);
fill((0,0)--(5/8,0)--(5,21/8)--(5,3)--cycle,lightgray);
draw((0,0)--(5,3));
draw((2,6/5)--(3/2,61/30)--(5/2,79/30)--(3,9/5));


label("$-\pi$",(-pi,-0.1),S); label("$\pi$",(pi,-0.1),S);
draw((49/20,19/12)--(69/20,131/60),dashed,EndArrow);
label("$mgl$",(-0.1,2),W); label("$-mgl$",(-0.1,-2),SW);
draw((5/2,3/2)--(3/2,19/6),dashed,EndArrow);
label("$-\theta_0$",(-2,-0.1),S); label("$\theta_0$",(2,-0.1),S);
draw((9/4,23/12)--(9/4,-7/20),dashed,EndArrow);
label("$E$",(-1,f1(2)),N);


limits((-4,-4),(4,4),Crop);
label("$m\mathbf{g}$",(9/4,1/2),E);
label("$\mathbf{N}$",(3/2,19/6),W);
label("$\mathbf{F}$",(69/20,131/60),N);
 
//limits((-4,-4),(4,4),Crop);
</asy>
</asy>

Revision as of 14:37, 18 July 2015

[asy] import slopefield;  real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;  // Label f; // f.p=fontsize(6); //xaxis(-4,4); //yaxis(-4,4);  //real f1(real x) { return (-2) * cos(x); }  //draw(graph(f1,-4,4));  fill((0,0)--(5/8,0)--(5,21/8)--(5,3)--cycle,lightgray); draw((0,0)--(5,3)); draw((2,6/5)--(3/2,61/30)--(5/2,79/30)--(3,9/5));  draw((49/20,19/12)--(69/20,131/60),dashed,EndArrow); draw((5/2,3/2)--(3/2,19/6),dashed,EndArrow); draw((9/4,23/12)--(9/4,-7/20),dashed,EndArrow);  label("$m\mathbf{g}$",(9/4,1/2),E); label("$\mathbf{N}$",(3/2,19/6),W); label("$\mathbf{F}$",(69/20,131/60),N);  //limits((-4,-4),(4,4),Crop); [/asy]