Question

prove that Total energy in SHM remains constant​

Answer 1

The total energy that a particle possesses while performing simple harmonic motion. Therefore, in order to calculate the energy in SHM, we need to calculate the kinetic and potential energy that the particle possesses.

Explanation: the total energy in simple harmonic motion is the sum of its potential energy and kinetic energy. thus, the total energy in the simple harmonic motion of a particle is directly proportional to its mass.

 E = KE +PE

    = $\frac{1}{2} mw^{2} A^{2} [sin^{2} (wt+q)+cos^{2} (wt+q)]$

or    $E = \frac{1}{2} mw^{2} A^{2}$