First slide

Simple harmonic motion

Question

The phase difference between the displacement and acceleration of a particle executing simple harmonic motion is

Easy

A

zero
B

$π / 2$
C

$π$
D

$2 π$

Solution

$Since y = A \sin ϕ and a = - ω^{2} A \sin ϕ$
$and - \sin ϕ = \sin (π + ϕ)$
So, acceleration is ahead of displacement by a phase $π$

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