A particle of mass $m$ oscillates with simple harmonic motion between points ${x_1}$ and ${x_2}$, the equilibrium position being $O$. Its potential energy is plotted. It will be as given below in the graph
AIPMT 2003, Medium
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(d) Potential energy of particle performing $SHM$ is given by:
$PE = \frac{1}{2}m{\omega ^2}{y^2}$
i.e. it varies parabolically such that at mean position it becomes zero and maximum at extreme position.
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