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A smooth ring of mass m1 connected with ...

A smooth ring of mass `m1` connected with a hanging block of mass `m2,` 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) `m1=2m2`
(B) `m1=m2`
(C ) `m1=(m2)/(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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