First slide

Simple harmonic motion

Question

The phase difference between acceleration and displacement of S.H.M.

Moderate

A

π
B

π/2
C

π/4
D

π/3

Solution

$i n s i m p l e h a r m o n i c m o t i o n, a c c e l e r a t i o n = - ω^{2} x \Rightarrow a c c e l e r a t i o n i s o p p o s i t e t o d i s p l a c e m e n t (x) a c c e l e r a t i o n i s t o w a r d s i t s m e a n p o s i t i o n a n d d i s p l a c e m e n t i s a w a y f r o m m e a n p o s i t i o n ∴ p h a s s e d i f f e r e n c e b e t w e e n a c c e l e r a t i o n a n d d i s p l a c e m e n t i s π$

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