Question

Phase relationship between displacement velocity and acceleration in shm

Answer 1

Particle starts from any position:

(A) X=Asin(wt+ø)

(B) V=Awcos(wt+ø)=Awsin(wt+ø+90°)

(C) a=

-Aw^2sin(wt+ø)=Aw^2sin(wt+ø+180°).

From this we conclude that:-

1.Velocity leads displacement by 90°

2.Acc. leads velocity by 90°

3.Acc. leads displacement by 180°