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A piece of wire is bent in the shape of ...

A piece of wire is bent in the shape of a parabola `y = Kx^(2)` (y - axis vorical) with a bead of mass m on it . The beat can side on the wire without friction , it stays the wire is now accleated parallel to the bead , where the bead can stay at rest with repect to the wire from the y - axis is

A

`(a)/(gk)`

B

`(a)/(2gk)`

C

`(2a)/(gk)`

D

`(a)/(4gk)`

Text Solution

Verified by Experts

The correct Answer is:
B
Looking for tangential equilibrium
`mg sin theta =ma cos theta rArr tan theta = (a)/(g), tan theta = (dy)/(dx)` .
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