Q.

Under the action of a force F =-kx3, the motion of a particle is (k = a positive constant)

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By Expert Faculty of Sri Chaitanya

a

simple harmonic motion

b

uniformly accelerated motion

c

not periodic

d

periodic but not simple harmonic

answer is 4.

(Detailed Solution Below)

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Detailed Solution

At x = 0, F = 0. For x > 0, force is in negative direction and for x < 0, force is in positive x-direction. Therefore,motion of the particle is periodic about mean position x = 0.
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