First slide

Simple harmonic motion

Question

The maximum velocity and the maximum acceleration of a body moving in a simple harmonic oscillator are $2 m / s$ and $4 m / s^{2} .$ Then angular velocity will be

Moderate

A

3 rad/sec
B

0.5 rad/sec
C

1 rad/sec
D

2 rad/sec

Solution

$v_{\max} = aω$ and $A_{\max} = {aω}^{2}$ $\Rightarrow ω = \frac{A_{\max}}{v_{\max}} = \frac{4}{2} = 2 rad / \sec$

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