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The displacement of a particle is repres...

The displacement of a particle is represented by the equation `y=3cos((pi)/(4)-2omegat).`
The motion of the particle is

A

simple harmonic with period `(2pi)/(omega)`

B

simple harmonic with period `(2pi)/(omega)`

C

periodic but not simplee harmonic

D

non-periodic.

Text Solution

Verified by Experts

The correct Answer is:
B
Given: `y=3cos((pi)/(4)-2omegat)`
`y=3cos[-(2omegat-(pi)/(4))]=3cos(2omegat-(pi)/(4))" "[becausecos(-theta)=costheta]`
It represents simple harmonic motion with time period `T=(2pi)/(2omega)=(pi)/(omega)`.
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