First slide

Simple harmonic motion

Question

For the particle executing SHM of the displacement x is given by x = A cos $ω$ t. Identify which represents variation of potential energy as a function of time t and displacement x.

Easy

A

I, III
B

II, IV
C

II, III
D

I, IV

Solution

$P E = \frac{1}{2} m ω^{2} x^{2} = \frac{1}{2} m ω^{2} A^{2} \cos^{2} ω t$
That is at t = 0 potential energy is maximum and potential energy a x². So choice is I and II.

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