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Under the action of a force F=-kx^(3) , ...

Under the action of a force `F=-kx^(3)` , the motion of a particle is (k=a positive constant)

A

simple harmonic motion

B

uniformly acceleration motion

C

not periodic

D

periodic but not simple harmonic

Text Solution

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The correct Answer is:
D
(d) At x=0 , F=0 . For `x gt 0` , force is in negagtive direction and for `x lt 0` , force is in positive x-direction . Therefore, motion of the particle is periodic about mean position x=0
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