I am attempting to animate my parametric plot, but am having difficulties. I tried simply wrapping the plot code with an Animate[expression,{t,0,5}]
, but that hasn't worked, and I simply get a red animation screen. Any suggestions? Could someone tell me what is going wrong?
R= 2; l = 6; m = 9; g = -9.81; Subscript[t, 0] = 0; Subscript[t, f] = 1;
x[t_] = (l - R θ[t]) Cos[θ[t]] + R Sin[θ[t]];
y[t_] = R Cos[θ[t]] - (l - R θ[t]) Sin[θ[t]];
T = (1/2) m ((x'[t])^2 + (y'[t])^2);
U = m g (R Cos[θ[t]] - (l - R θ[t]) Sin[θ[t]]);
L = T - U;
EL[t_] = (D[L, θ[t]] - D[ D[L, θ'[t]], t]) // FullSimplify;
soln = NDSolve[{EL[t] == 0, θ[0] == 0, θ'[0] == 0}, θ, {t, Subscript[t, 0], Subscript[t, f]}];
ParametricPlot[ Evaluate[{(l - R θ[t]) Cos[θ[t]] + R Sin[θ[t]], R Cos[θ[t]] - (l - R θ[t]) Sin[θ[t]]} /. soln], {t, 0, 5}, AxesLabel -> y, PlotRange -> {10}]
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