First slide
Simple hormonic motion
Question

A body of mass 100 gm is executing simple harmonic motion. Its displacement x (in cm) at time t (in second) is given by x=10 cos(50t-π/3). Then maximum restoring force acting on the body is

Moderate
Solution

m = 0.1 kg, Amplitude A = 0.1 m and ω=50 rad/s

 Maximum restoring force =mω2A=0.1×(50)2×0.1 N=25 N

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