First slide

Simple hormonic motion

Question

For a particle executing S.H.M., the displacement x is given by x= $α$ cos $ωt$ Identify the graph (fig. 10),

which represents the variation of potential energy (P.E.) as a function of time , and displacement x

Moderate

A

1.3
B

2,4
C

1,2
D

3,4

Solution

Potential energy is maximum at energy positions and zero at mean position $x = acos ωt$ is represented by cosine curve 1 of fig.
one curve should represent potential energy variation with time and other should represent with distance.

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