Question

A mass on a spring with a constant of 3.62N/m vibrates, with its position given by the equation x = (5.05cm) cos(3.80trad/s). During the first cycle, for 0<t<1.65s, when is the potential energy of the system changing most rapidly into kinetic energy? There are two solutions, enter both with the smaller one first.

What is the maximum rate of energy transformation?

Answer 1

$$a=0\to -\omega^2x=0$$

$$\cos{3.8t}=0$$

$$t_1=0.41\ s, t_2=1.24\ s$$