The end of a chain of length L and mass per unit length `rho`, which is piled up on a horizontally platform is lifted vertically with a constant velocity u by a variable force F. Find F as a function of height x of the end above platform:

A chain of length l and mass m lies in a pile on the floor. If its end A is raised vertically at a constant speed v_0 , express in terms of the length y of chain which is off the floor at any given instant. (a) The magnitude of the force P applied to end A. (b) Energy lost during the lifting of the chain.

A chain of length l and mass m lies in a pile on the floor. If its end A is raised vertically at a constant speed v_0 , express in terms of the length y of chain which is off the floor at any given instant. (a) The magnitude of the force P applied to end A. (b) Energy lost during the lifting of the chain.

A string of length L and mass M is lying on a horizontal table. A force F is applied at one of its ends. Tension in the string at a distance x from the end at which force is applied is

A string of length L and mass M is lying on a horizontal table. A force F is applied at one of its ends. Tension in the string at a distance x from the end at which force is applied is

A string of length L and mass M is lying on a horizontal table. A force F is applied at one of its ends. Tension in the string at a distance x from the end at which force is applied is

A thin rod AB of length a has variable mass per unit length rho_(0) (1 + (x)/(a)) where x is the distance measured from A and rho_(0) is a constant. Find the mass M of the rod.