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

Write the phase difference between the velocity and acceleration of a particle undergoing a simple harmonic motion.

Find expressions for potential and kinetic energies of a particle executing simple harmonic motion.

Derive an expression for kinetic energy of Rolling Motion.

Four different expressions for displacement of a particle executing simple harmonic motion are printed on a book: Here a = maximum displacement of the particle , v =its velocity and T = its time period. Check from dimensional analysis which of these expressions involve (s) some printing mistake.

The kinetic energy (K) and potential energy (V) of a particle performing a simple harmonic motion are such that, always

If the displacement and the restoring force acting on a particle executing simple harmonic motion are x and F respectively, then F = -kx. Here the negative sign on the right hand side indicates that