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A hemisphere of mass M and radius R rest...

A hemisphere of mass M and radius R rests on a smooth horizontal table. A vertical rod of mass m is held between two smooth guide walls supported on the sphere as shown. There is no friction between the rod and the sphere. A horizontal string tied to the sphere keeps the system at rest.

(a) Find tension in the string.
(b) Find the acceleration of the hemisphere immediately after the string is cut.

Text Solution

Verified by Experts

The correct Answer is:
(a) `T = N "cos"theta`
(b) `(mg)/(M "tan"theta + m "cot"theta)`
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