First slide

Simple hormonic motion

Question

The equation x = Asin² (wt+ π/6) represents

Moderate

A

S. H. M. with amplitude A
B

Periodic motion with amplitude
C

Oscillatory motion with angular frequency w
D

Uniformly accelerated motion

Solution

$x = {Asin}^{2} (ω t + \frac{π}{6})$
$= A [\frac{1 - \cos (ω t + \frac{π}{6})}{2}]$
$= \frac{A}{2} - \frac{A}{2} \cos 2 (ω t + \frac{π}{6})$

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