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Find the minimum height of the obstacle ...

Find the minimum height of the obstacle so, that the sphere can stay in equilibrium.

A

`R/(1 + cos theta)`

B

`R/(1 + sin theta)`

C

`R(1- sin theta)`

D

`R(1- cos theta)`

Text Solution

Verified by Experts

The correct Answer is:
D
The sphere can stay in equilibrium if mg force vector passes to the left of point of contact A. So that torque of mg about A is anticlock wise
For minimum value of h (critically) mg can pass through
`A rArr h =R - R cos theta`.
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