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A body is vibrating in simple harmonic m...

A body is vibrating in simple harmonic motion . If its acceleration in `12 cms^(-2)` at a displacement 3 cm from the mean position, then time period is

A

6.28 s

B

3.14 s

C

1.57 s

D

2.57 s

Text Solution

Verified by Experts

The correct Answer is:
B
(b) `|a|=omega^(2)x`
`12omega^(2)(3)`
`therefore omega=2 "rad"s ^(-1)=(2pi)/(T)`
`therefore T=(pi)s " or "3.14 s`
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