Using the method of dimensions , derive an expressions for the energy of a body executing SHM , assuming this energy depends upon its mass m , frequency v and amplitude of vibration r .

Derive by method of dimensions an expression for the energy (E ) of a body executing SHM assuming that this energy depends upon (i) the mass (m), (ii) the frequency (v) and the amplitude of vibration (gamma) .

Derive an expression for energy of a body which is in S.H.M

Show that the total energy of a body executing S.H.M. is constant.

Energy of particle executing SHM depends upon

Energy of particle executing SHM depends upon

Obtain an expression for the kinetic energy of a particle performing linear SHM. State how it depends upon the amplitude, frequency and period of SHM.

Derive an expression for time period of vibration in S.H.M. .Does it depend upon displacement ?

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