A chain of mass M and length L is suspended vertically with its bottom touching a pan of mass m on a scale. The chain is then let go from rest. As chain falls, the scale reads the force W on the pan needed to balance the force of the chain that is on the pan and the chain link that is impacting the pan at that instant. Assume each chain link is in?nitesimally small and comes to rest instantaneously upon impact so that at each instant the entire momentum of an infinitesimal part of the chain link falling on the pan is transferred to the pan. Write an expression for the reading of the scale when a length y has fallen, W(y). Write an expression for the reading on the scale W at the instant the whole chain has fallen onto the pan.
A chain of mass M and length L is suspended vertically with its bottom touching a pan of mass m on a scale. The chain is then let go from rest. As chain falls, the scale reads the force W on the pan needed to balance the force of the chain that is on the pan and the chain link that is impacting the pan at that instant. Assume each chain link is in?nitesimally small and comes to rest instantaneously upon impact so that at each instant the entire momentum of an infinitesimal part of the chain link falling on the pan is transferred to the pan. Write an expression for the reading of the scale when a length y has fallen, W(y). Write an expression for the reading on the scale W at the instant the whole chain has fallen onto the pan.
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