The displacement `y` of a particle executing periodic motion is given – InterviewSolution

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1.	The displacement `y` of a particle executing periodic motion is given by `y = 4 cos^(2) ((1)/(2)t) sin(1000t)` This expression may be considereed to be a result of the superposition ofA. two movesB. three movesC. four movesD. five moves
Answer» If we have a term `cos kx sin omegat`, it is the superposition of two wave motions. If we have an equation of the form `cos^(2)` at `sinbt` it can be shown to be superposition of three sine waves. Here, `y=4cos^(2)((1)/(2)t sin(1000)t)` `=2[1+cost]sin1000t=2[sin1000t+(1)/(2)(sin100t+sin999t)]=` this comprises three waves.

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