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A smooth ring of mass m(1) connected wit...

A smooth ring of mass `m_(1)` connected with a hanging block of mass `m_(2),` by a long inextensible string, is released from rest. The ring moves vertically along a fixed rigid rod as shown in figure.
Describe the motion of the ring if
(A) `m_(1)=2m_(2)`
(B) `m_(1)=m_(2)`
(C ) `m_(1)=(m_(2))/(2)`

Text Solution

Verified by Experts

(A), (B) when `m_(1)gem_(2),m_(1)` will be never be in equilibrium. It will go on mobing till `m_(2)` hits the pulley. (C ) `m_(1)` will attain maximum speed at its equilibrium position at `theta=60^(@)` when `theta=` angle made by string with horizontal.
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