Question

prove that the sum of potential and kinetic energies of a body in simple harmonic motion is constant.

Answer 1

Potential and Kinetic Energies inSimple Harmonic Motion. We have read that a particle executing simple harmonic is acted upon by a restoring force, which tends to bring back the particle to its mean position. ... The two forms of energy transform in each other during the motion, but their sumalways remains constant.