First slide

Simple harmonic motion

Question

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

Moderate

A
B
C
D

Solution

Potential energy of particle performing SHM is given by: $PE = \frac{1}{2} {mω}^{2} y^{2}$ i.e. it varies parabolically such that at mean position it becomes zero and maximum at extreme position.

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