First slide

Simple harmonic motion

Question

A particle executes harmonic motion with an angular velocity and maximum acceleration of 3.5 rad/sec and 7.5 m/s² respectively. The amplitude of oscillation is

Moderate

A

0.28 m
B

0.36 m
C

0.53 m
D

0.61 m

Solution

$A_{\max} = {aω}^{2} \Rightarrow a = \frac{A_{\max}}{ω^{2}} = \frac{7 .5}{{(3 .5)}^{2}} = 0 .61 m$

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