A unifrom flexible chain of length L with weight `lambda` per unit length passes over a small frictionless massless pulley. It is released from rest position with length of chain y hanging from one side and `(L-y)` from the other side
(a) Under what condition will it accelerate?
(b) assuming these circumstances find the acceleration as a function of y.

Answer

`(a) y ne(L//2),
(b) a=g(1-2y//L)`

Explanation

The chain will accelerate if `F_(1) ne F_(2)` and acceleration will be `=(F_(1)~F_(2))//m`