Periodic Functions

Simple Harmonic Motion (SHM)

ü Simple harmonic motion (SHM) is kind of oscillation in which the particle oscillates on a straight line,

ü The acceleration of the particle is always directed towards a fixed point on the line

ü Its magnitude is directly proportional to the displacement of the particle from this fixed point.

ü This fixed point is called the centre of oscillation

ü displacement (x) of the particle from the fixed point varies with time as

Hence, the defining equation for simple harmonic oscillation is

(1)

where is a positive constant, is a displacement and is a acceleration.