Questions

For a particle executing S.H.M. the displacement x is given by $\mathrm{x}=\mathrm{Acos\omega t}$. Identify the graph which represents the variation of potential energy (P.E.) as a function of time t and displacement x

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a

I, III

b

II, IV

c

II, III

d

I, IV

detailed solution

Correct option is A

Potential energy is minimum (in this case zero) at mean position (x = 0) and maximum at extreme position (x=±A).At time t = 0, x = A, hence potential should be maximum. Therefore graph I is correct. Further in graph III. Potential energy is minimum at x = 0, hence this is also correct.

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The acceleration a of a particle undergoing S.H.M. is shown in the figure. Which of the labelled points corresponds to the particle being at – x_{max}

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