Find out the total mechanical energy of a particle executing SHM.

Plot graphs showing the variation of kinetic energy, potential energy and total mechanical energy of a particle executing S.H.M with its displacement.

At which points of its path, the potential energy of a particle executing SHM becomes maximum?

The ratio of kinetic energy and potential energy of a particle executing SHM at a distance of 2 cm from its equilibrium position is 3 : 2. What is the amplitude of vibration of the particle?

Show that the total mechanical energy remains constant for a particle executing simple harmonic motion.

At which position, the kinetic energy of a particle executing SHM becomes maximum?

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