A particle oscillates according to the law s=4(cos^(2)0.5t)(sin1000t) Expand this motion into a harmonics series and plot its spectrum.

A particle oscillates according to the law s=4(cos^(2)0.5t)(sin1000t)

1.	A particle oscillates according to the law s=4(cos^(2)0.5t)(sin1000t) Expand this motion into a harmonics series and plot its spectrum.
Answer» Solution :CARRY out the following transformations: `s=4cos^(2)""(t)/(2).sin1000t=2(1+cost)sin1000t=2sin1000t+2sin1000t.cost=2sin1000t+sin1001t-sin999t` The SPECTRUM is SHOWN if FIG

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A particle oscillates according to the law s=4(cos^(2)0.5t)(sin1000t) Expand this motion into a harmonics series and plot its spectrum.

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