1. The problem statement, all variables and given/known data A flexible chain of mass M and length L lies on a frictionless table, with a very short portion of its length L0 hanging through a hole. Initially the chain is at rest. Find a general equation for y(t), the length of chain through the hole, as a function of time. (Hint: Use conservation of energy. The answer has the form y(t) = Ae^(γt) + Be^(-γt) where γ is a constant.) Calculate the time when 1/2 of the chain has gone through the hole. Data: M = 1.4 kg; L = 2.6 m; L0 = 0.3 m. 2. Relevant equations 3. The attempt at a solution This problem has been asked before, and I've worked through it, but I can't seem to get it right. I've solved the position function to be: x(t) = (x0/2)e^(√(g/l)t) + (x0/2)e^(-√(g/l)t) which can then be solved for t to get: t = √(L/g)*arcosh((L-x0)/x0) Since I want the time when half the chain has gone though, I solve using L = 1.3 m, but I can't seem to get it. Any help on where I've gone wrong would be appreciated.