# Acceleration in SHM

The acceleration of the particle executing SHM at any instant is defined as the rate of change of its velocity at that instant. So, acceleration

Important Points
• In SHM as |Acceleration| = ω2y is not constant. So equations of translatory motion can not be applied.
• In SHM acceleration is maximum at extreme position.

From equation (i) |Amax| = ω2a

when |sin ωt| = maximum = i.e., at or

From equation (ii) |Amax| = ω2a when y = a
• In SHM acceleration is minimum at mean position

From equation (i) Amin = 0

when sin ωt = 0 i.e., at t = 0 or  or ωtπ

From equation (ii) Amin = 0 when y = 0
• Acceleration is always directed towards the mean position and so is always opposite to displacement

i.e., A ∝ –y