(b) We can describe the motion of the mass as a position vector p(t) using circular functions.
(b) We can describe the motion of the mass as a position vector p(t) using circular functions.
Input :=
p[t_] = {5 Sin[2/5 t], 5 Cos[2/5 t]};
We further compute the time at which the mass arrives at (5, 0) as a check on our parametric representation.
Input :=
stoptime = t/.FindRoot[p[t][[1]] == 5,{t,3}][[1]]//N
Output = 3.92655
We plot the motion of the mass.
Input :=
ParametricPlot[p[t],{t,0, time},AspectRatio->Automatic]
Output = -Graphics-