Meriam, Kraige & Bolton — Kinetics of Systems of Particles: Problem 4_92

4/92 The chain of mass \(\rho\) per unit length passes over the small freely turning pulley and is released from rest with only a small imbalance \(h\) to initiate motion. Determine the acceleration \(a\) and velocity \(v\) of the chain and the force \(R\) supported by the hook at \(A\), all in terms of \(h\) as it varies from essentially zero to \(H\). Neglect the weight of the pulley and its supporting frame and the weight of the small amount of chain in contact with the pulley. (Hint: The force \(R\) does not equal two times the equal tensions \(T\) in the chain tangent to the pulley.)