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The drum of a winch has mass M and radiu...

The drum of a winch has mass `M` and radius `R`. A cable wound aroung the drum suspends a load of mass `m`. The entire cable has a length `L` and mass per unit length `lamda`, with a total mass `m_(c)=L lamda`. The load begins to fall all toward the ground, unwinding the cable as it goes. How fast is the load moving after it has falled a distance `d`?

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