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Question

Question: A particle executes simple harmonic motion along a straight line with an amplitude A. The potential ...

A particle executes simple harmonic motion along a straight line with an amplitude A. The potential energy is maximum when the displacement is

A

±A\pm A

B

Zero

C

±A2\pm \frac{A}{2}

D

±A2\pm \frac{A}{\sqrt{2}}

Answer

±A\pm A

Explanation

Solution

P.E.=12mω2x2= \frac{1}{2}m\omega^{2}x^{2}

It is clear P.E. will be maximum when x will be maximum i.e., at x=±Ax = \pm A