Derive the expression for total energy of a particle executing simple harmonic motion (SHM).

The total energy of a particle executing simple harmonic motion is

The total energy of a particle, executing simple harmonic motion is.

Derive an expression for the total energy of a particle executing simple harmonic motion. Also, show graphically the variation of potential and kinetic energies with time in S.H.M.

(a) Derive an expression for the energy of a particle executing simple harmonic motion. (b) The length of a simple pendulum in increased by 15%. What will be the percentage increase in time period ?

Derive an expression for the total energy of a particle undergoing simple harmonic motion.

The total energy of a particle executing simple harmonic motion is (x- displacement)

The velocity of a particle executing simple harmonic motion is

While a particle executes linear simple harmonic motion