A particle is undergoing SHM. If its potential energy is given by: U = kx2. What will be the value of x for potential energy to be 1/3rd of kinetic energy? Assume k is force constant.

A body with simple harmonic motion (S.H.M.) has potential energy from its displacement from the mean position. From its velocity, it also possesses kinetic energy. During the oscillatory motion, these energies vary, but their sum remains constant, provided no dissipative forces are present.