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How long after the beginning of motion i...

How long after the beginning of motion is the displacement of a oscillating particle equal to one half its amplitude if the period is `24s` and particle starts from rest from extreme position.

A

`12s`

B

`2s`

C

`4s`

D

`6s`

Text Solution

Verified by Experts

The correct Answer is:
C
`y = a cos omegat`
`(a)/(2) = a cos omegat`
`omegat = (pi)/(3)`
`(2pi)/(24)t = (pi)/(3)`
`t = 4 sec`.
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