# Drums

A drum has a radius of $$0.40\mbox{ m}$$ and a moment of inertia of $$4.5\mbox{ kg m}^2$$. The frictional torque of the drum axle is $$3.0\mbox{ N m}$$. A $$15\mbox{ m}$$ length of rope is wound around the rim. The drum is initially at rest. A constant force is applied to the free end of the rope until the rope is completely unwound and slips off. At that instant, the angular velocity of the drum is $$13\mbox{ rad/s}$$. The drum then decelerates and comes to a halt. The constant force applied to the rope is closest to

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