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[Solved] For the given displacement – time curve of SHM. The potential – energy vs time curve will be?

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For the given displacement – time curve of SHM. The potential – energy vs time curve will be?

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Correct answer: (d)

Explanation:

Considering Spring – mass system

x = x0 sin ω t

P. E =(1/2)kx2 = 1/2kx02sin2 ωt = c sin2 ωt

⇒ PE = (1- cos 2 ωt)/2

Thus, the value of P.E will always be positive.

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