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A small body of mass m slides down from ...

A small body of mass m slides down from the top of a hemisphere of radius r . The surface of block and hemisphere are frictionless. The height at which the body lose contact with the surface of the sphere is

A

`(3)/(2)R`

B

`(2)/(3) R`

C

`(1)/(2) R`

D

`(1)/(3) R`

Text Solution

Verified by Experts

(b) Suppose body slips at point B

`mgcostheta=(mv^(2))/(R)[v=sqrt(2g(R-h))]`
gcostheta=(2g(R-h))/(R)`
`costheta=(2(R-h))/(R)`
`(h)/(R)=(2(R-h))/(R)" " [costheta=(h)/(R)]`
`:." "h=(2)/(3)R`
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