In simple harmonic motion, force is directly proportional to the displacement for the mean position. Derive equations for the Kinetic and potential energies of a harmonic oscillator.

In simple harmonic motion, force is directly proportional to the displacement for the mean position. Give an example of harmonic oscillator.

In simple harmonic motion, force is directly proportional to the displacement for the mean position. Show graphically the variation of kinetic energy and potential energy of a harmonic oscillator.

The motions that repeat themselves are called periodic motions but for a simple harmonic motion, the force must be proportional to the displacement and it is directed towards the centre of motion. Write the expression for a period of oscillation of a loaded spring.

The motions that repeat themselves are called periodic motions but for a simple harmonic motion, the force must be proportional to the displacement and it is directed towards the centre of motion. Write an example for a periodic motion that is not simple harmonic.

Define simple harmonic motion for a particle moving in a straight line.

The motion that repeat themselves are called periodic motions but for a simple harmonic motion, the force must be proportional to the displacement and it is directed towards the centre of motion. A particle executes a SHM of amplitude 'a'. At what distance from the mean position is its kinetic energy equal to its potential energy?

Derive a differential equation for a damped harmonic oscillation.