First slide

Simple hormonic motion

Question

A body of mass 0.5 kg is performing SHM with a time period π/2 seconds. If its velocity at mean position is 1ms^–1, then restoring force acting on the body at a phase angle 60° from extreme position is

Moderate

A

0.5 N
B

1 N
C

2 N
D

4 N

Solution

$K = \frac{4 π^{2} m}{T^{2}}, V_{\max} = Aω; F = Kx = KA Cos \frac{π}{3}$

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