First slide

Simple harmonic motion

Question

A particle is executing simple harmonic motion with an amplitude of 0.02 metre and frequency 50 Hz. The maximum acceleration of the particle is

Moderate

A

$100 m / s^{2}$
B

$100 π^{2} m / s^{2}$
C

$200 m / s^{2}$
D

$200 π^{2} m / s^{2}$

Solution

$a_{\max} = 4 π^{2} n^{2} A = 4 π^{2} \times {(50)}^{2} \times 0 .02$ $= 200 π^{2} m / s^{2}$

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