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The Lagrangian Formulation of Mechanics

A ring of mass m slides on a smooth vertical rod. Attached to the ring is a light, inextensible string passing over a smooth peg located distance a from the rod. At the other end of the string is a mass M (M > m). The ring is released from rest at the same level as the peg. Determine, in terms of M,a, and m, the maximum distance the ring will fall.

Solution Summary

This solution looks at the situation of the rod, peg and two masses and calculates the the maximum distance the ring will fall using concepts of potential energy and acceleration.