One of two identical masses lies on a smooth plane, which is inclined at sin-1 1/14 to the horizontal, and is 2m from the top. A light inextensible string attached to this mass passes along the line of greatest slope , over a smooth pulley fixed at the top of the incline; the other end carries to the other mass hanging freely 1m above the floor. If the system is released from rest, find the time taken for the hanging mass to reach the floor?