Simple harmonic motion Definition

It is defined as the type of motion in which the restoring force is proportional to the displacement from its mean position of rest and always opposes its increase.

Let , a particle is displaced by a distance y from its mean position and ‘F’ is the restoring force tends to bring the body to its mean position due to elasticity.

For a small displacement, the force is proportional to the displacement and opposes the increase of displacement. Hence,