At what displacement P.E and K.E of a body executing SHM are equal

Answer 1

The potential energy (P.E) and kinetic energy (K.E) of a body executing simple harmonic motion (SHM) are equal at the endpoints of the motion, where the displacement is maximum. At these points, the body is farthest from the equilibrium position, and its velocity is zero. Therefore, all the energy of the system is in the form of potential energy. As the body moves towards the equilibrium position, the potential energy decreases and the kinetic energy increases, but at the endpoints, these energies are equal.