A chain of length l and mass m falls through a small hole in a plate. Initially,

Question:

A chain of length l and mass m falls through a small hole in a plate. Initially, when y is very small, the chain is at rest. In each case shown, determine

(a) The acceleration of the first link A as a function of y,

(b) The velocity of the chain as the last link passes through the hole. In case 1 assumes that the individual links are at rest until they fall through the hole; in case 2 assume that at any instant all links have the same speed. Ignore the effect offriction.