First slide

Simple hormonic motion

Question

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

Moderate

A

zero
B

$\frac{π}{2}$
C

$π$
D

2 $π$

Solution

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

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