A simple harmonic oscillator has a total energy of E.
(a) Determine the kinetic and potential energies when the displacement is one fourth the amplitude. (Give your answer in terms of the total energy E of the oscillator.)
kinetic energy
E
potential energy
E
(b) For what value of the displacement does the kinetic energy equal one third the potential energy? (Give your answer in terms of the amplitude A of the oscillator.)