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An uniform hollow hemisphere of mass m a...

An uniform hollow hemisphere of mass m and radius r is released from rest on a smooth horizontal surface with its open face vertical initially. Maximum normal reaction between hemisphere and ground during motion is -

A

`(10mg)/(5)`

B

`(9mg)/(5)`

C

`(11mg)/(5)`

D

`(12mg)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
An uniform …………….
`I_(c )=(2)/(3)mR^(2)`
`I_(cm)=(5)/(12)mR^(2)`
When `omega` is maximum
`mg(R )/(2)=(1)/(2)((5)/(12)mR^(2))omega^(2)`
`omega^(2)(R )/(2)=(6g)/(5)`
`N_(max) = mg+m.(6g)/(5)`
`N_(max) = (11mg)/(5)`
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Knowledge Check

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