Replace the open-link chain of Sample Problem \(4 / 10\) by a flexible but inextensible rope or bicycle-type chain of length \(L\) and mass \(ho\) per unit length. Determine the force \(P\) required to elevate the end of the rope with a constant velocity \(v\) and determine the corresponding reaction \(R\) between the coil and the platform.

Problem 4/10

The end of a chain of length L and mass ???? per unit length which is piled on a platform is lifted vertically with a constant velocity v by a variable force P. Find P as a function of the height x of the end above the platform. Also fi nd the energy lost during the lifting of the chain.

P A P pgL Xx R R P pgL pgx V To pg (L-x)- To R