A ring of mass m free to slide on a fixed smooth horizontal rod is attached to a particle of mass M kg by a inextensible string of length l . Initially, both M and m are at rest and the string is vert

Question

A ring of mass m free to slide on a fixed smooth horizontal rod is attached to a particle of mass M kg by a inextensible string of length $l$ . Initially, both M and m are at rest and the string is vertical. A horizontal velocity $v_{0}$ is imparted to the particle. The maximum height up to which block will rise w.r.t its initial position is (M = 2m)

TestHub · Accepted Answer

The reduced mass of the system is m reduced = m × 2 m m + 2 m = 2 m 3 ∆ K = 1 2 2 m 3 v 0 2 = 2 m g h ∴ h = 1 2 2 m 3 v 0 2 2 m g = v 0 2 6 g

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