The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure.
The potential energy $U (x)$ versus time $(t)$ plot of the particle is correctly shown in figure:

Question

The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure.

The potential energy $U (x)$ versus time $(t)$ plot of the particle is correctly shown in figure:

TestHub · Accepted Answer

Considering → Spring - mass system x = x 0 sin ω t P . E . = 1 2 k x 2 = 1 2 k x o 2 sin 2 ω t = c sin 2 ω t ⇒ P E = 1 - cos 2 ω t 2

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