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A point mass m is displaced slightly fro...

A point mass `m` is displaced slightly from point `O` and released. It is constrained to move along parabolic path having equation `x^(2)=ky` then its angular frequency of oscillation is :

A

`sqrt((g)/(2k))`

B

`sqrt((2g)/(k))`

C

`sqrt((g)/(k))`

D

`sqrt((3g)/(2k))`

Text Solution

Verified by Experts

`F=-mg sin theta`
`sin theta=tan theta=(dy)/(dx)=(2x)/(k)`
`F=-((2mg)/(k))x`
`omega=sqrt((2g)/(k))`
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