Question

A rope of mass M uniformly distributed along its length L ,can slide without friction on a horizontal table. At instant to=0 the hanging part of the rope has a length b and the rope is held at rest .When it is left the rope begins to slide. At instant t the part of the rope that hangs has a length x and a velocity v. Take the level of the horizontal for the gravitational potential energy.
a)Calculate at instant to=0 the mechanical energy of the system in terms of M ,L ,b and g.
b) Calculate the mechanical energy of the system at instant t in terms of M, L, x, v and g.
c) Find relation between x and v

Answer 1

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