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An instantaneous displacement of a simp...

An instantaneous displacement of a simple harmonic oscillator is `x=A cos (omegat+pi//4)`. Its speed will be maximum at time :

A

`pi//4omega`

B

`pi//omega`

C

`pi//2omega`

D

`2pi//omega`.

Text Solution

Verified by Experts

The correct Answer is:
A
`v=(dx)/(dt)=-A omega sin(omegat+pi//4)`
For velocity to be maximum
`omega t+pi//4=pi//2" "implies" "t=(pi)/(4omega)`
Correct choice is (a).
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