Define SHM and mention any two examples. Derive the differential equation using Hooke’s law.

1. a) Define SHM and mention any two examples. Derive the differential equation using Hooke’s law.

Answer:

A body is said to be undergoing Simple Harmonic Motion (SHM) when the acceleration of the body is always proportional to its displacement and is directed towards its equilibrium or mean position. A particle or a system which executes simple harmonic motion is called Simple Harmonic Oscillator.

Examples of SHM are motion of the Bob of a simple pendulum, motion of a point mass fastened to spring, motion of prongs of tuning fork etc.,

DERIVATION OF DIFFERENTIAL EQUATION OF MOTION FOR SHM