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The instantaneous displacement of a simp...

The instantaneous displacement of a simple pendulum oscillator is given by `x= A cos (omegat+ pi / 4 )`Its speed will be maximum at time

A

`(pi)/(4omega)`

B

`(pi)/(2omega)`

C

`(pi)/(omega)`

D

`(2pi)/(omega)`

Text Solution

Verified by Experts

The correct Answer is:
A
`x=Acos(omegat+(pi)/(4))`
`v(dx)/(dt)=-Aomegasin(omegat+(pi)/(4))`
For maximum speed-
`sin(omegat+(pi)/(4))=1 implies omegat+(pi)/(4)=(pi)/(2)`
`implies omegat=(pi)/(2)-(pi)/(4)implies t=(pi)/(4omega)`.
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