Question

Explain the relation in phase between displacement, velocity, and acceleration in SHM, graphically as well as theoretically.

Answer 1

Let displacement x = Asinωt

Velocity v= ω Acosω t

acceleration a = – ω² Asin ω t = ω² Asin(ω t + π )

Displacement and velocity have phase difference of π/2 radians.

v and α has π/2 radians of phase difference. α ans x has π radians of phase difference. 

Assume ω >1