A smooth rod is fixed at an angle `alpha` to the horizontal. A small ring of mass m can slide along the rod. A thread carrying a small sphere of mass M is attached to the ring. To keep the system in equilibrium, another thread is attached to the ring which carries a load of mass `m_(0)`at its end (see figure). The thread runs parallel to the rod between the ring and the pulley. All threads and pulley are massless. (a) Find `m_(0)` so that system is in equilibrium. (b) Find acceleration of the sphere M immediately after the thread supporting `m_(0)` is cut.

A smooth rod is fixed at an angle `alpha` to the horizontal. A small r

1.	A smooth rod is fixed at an angle `alpha` to the horizontal. A small ring of mass m can slide along the rod. A thread carrying a small sphere of mass M is attached to the ring. To keep the system in equilibrium, another thread is attached to the ring which carries a load of mass `m_(0)`at its end (see figure). The thread runs parallel to the rod between the ring and the pulley. All threads and pulley are massless. (a) Find `m_(0)` so that system is in equilibrium. (b) Find acceleration of the sphere M immediately after the thread supporting `m_(0)` is cut.
Answer» Correct Answer - (a) `(M + m) g "sin"alpha` (b) `((M+ M) g sin^(2)alpha)/(m + M sin^(2) alpha)`

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