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The displacement of a particle is repres...

The displacement of a particle is represented by the equation `y=sin^(3)omegat`. The motion is

A

non-periodic

B

periodic but not simple harmonic

C

simple harmonic with period `2pi//omega`

D

simple harmonic with period `pi//omega`

Text Solution

Verified by Experts

The correct Answer is:
B
As `sin^(3)omegat=(sinomegat)^(3)=[sin(omegat+2pi)]^(3)=[sinomega(t+2pi//omega)]^(3),y=sin^(3)omegat` represents a periodic motion with period `2pi//omega`. Further, as `d^(2)y//dt^(2)` is not `prop(-y)`, the function does not represent SHM.
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