A rope of length L and mass per unit length of lies coiled on the floor.

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A rope of length L and mass per unit length of µ lies coiled on the floor. 

(a) What force F is required to hold one end of the rope a distance y < L above the floor as shown in Figure? 

(b) Find the work required to lift one end of the rope from the floor to a height l < L by integrating F dy from y = 0 to y = l.

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