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Questions  

An object of mass 4 kg is moving along X-axis and its potential energy as a function of x can be expressed as U(x) = 4 (1- cos 2x) joule then time period for small oscillations is:

a
π2 sec
b
π4 sec
c
π sec
d
3π2 sec

detailed solution

Correct option is C

F=-dUdx=-4×2 sin 2x For small oscillations, sin 2x≈2x                              F=-16x⇒a=Fm=-4x                               ω2=4⇒T=π sec

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