Find an expression for the total energy of a particle executing S.H.M.

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.

Deduce an expression for the velocity of a particle executing S.H.M. When is the particle velocity (i) Maximum (ii) minimum ?

Deduce an expression for the velocity of a particle executing S.H.M. When is the particle velocity maximum?

Deduce an expression for the velocity of a particle executing S.H.M. When is the particle velocity minimum?

The total energy of a particle executing S.H.M. is proportional to

The acceleration of a particle executing S.H.M. is

STATEMENT-1 , The total energy of a particle executing S.H.M( of given amplitude) of depends on the mass of particle but does not depend on its displacement frommean position and STATEMENT -2 : The total energy of a particle executing S.H.M. ismaximum at the mean position.

Derive an expression for the instantaneous velocity of a particle executing S.H.M. Find the position where velocity is maximum and where it is minimum.

Kinetic energy of a particle performing S.H.M.