A chain (A) of length L is coiled up on the edge of a table. Another identical chain (B) is placed straight on the table as shown. A very small length of both the chains is pushed off the edge and it starts falling under gravity. There is no friction

(a) Find the acceleration of the chain B at the instant `L_(2)` length of it is hanging. Assume no kinks in the chain so that the entire chain moves with same speed.
(b) For chain A assume that velocity of each element remains zero until it is jerked into motion with a velocity equal to that of the falling section. Find acceleration of the hanging section at the instant a length `l_(0)` has slipped off the table and its speed is known to be `v_(0)` at the instant.

Answer

(a) `(g)/(2)`
(b) `g - (v_(0)^(2))/(l_(0))`