Consider a particle undergoing an SHM of amplitude A & angular frequency w. What is the magnitude of displacement from the mean position when kinetic energy is equal to the magnitude of potential energy?

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.