SIMPLE HARMONIC MOTION

"Type of vibratory motion in which acceleration of body is directly proportional its displacement and the acceleration is always directed towards the equilibrium (mean) position is called Simple Harmonic Motion. "

Acceleration ∞- displacement

a ∞ - x

Negative sign indicates that acceleration and displacement are opposite in direction.

Examples of S.H.M:

BASIC CONDITIONS TO EXECUTE SHM: -

Basic conditions to execute simple harmonic motion are as under:

·         There must be elastic restoring force acting on the system.

·         The system must have inertia.

·         The acceleration of the system should be directly proportional to its displacement and is always       directed to mean position i.e. a ∞ - x 

   

EXAMPLES OF SHM: -

·         Motion of a body attached to the end of an elastic spring

·         Motion of the bob as a simple pendulum if it is gives a small displacement.

Motion of an elastic strip.

·         Motion of the prongs of a tuning fork.

·         Motion of the wire of a guitar or violin.

CHARACTERISTICS OF SHM: -

·         The motion must be vibratory.

·         The motion should be a periodic motion.

·         The restoring force should be directly proportional to the displacement of the body from its mean position.