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A man of mass 60kg is standing on a plat...

A man of mass `60kg` is standing on a platform executing SHM in the vertical plane. The displacement from the mean position varies as `y = 0.5sin(2pift)`. The value of `f`, for which the man will feel weightlessness at the highest point, is (`y` in metre)

A

`(g)/(4pi)`

B

`4pig`

C

`(sqrt(2)g)/(2pi)`

D

`2pisqrt(2g)`

Text Solution

Verified by Experts

The correct Answer is:
C
If he feels weightlessness then at the highest point, acceleration must be `g`.
`rArr g=omega ^(2)A`
`rArr omega = 2pif=sqrt(2g)`
`rArr f=(sqrt(2g))/(2pi)`
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