A bucket of water with total mass 30 kg is attached to a rope, which in turn is wound around a 0.050 m radius cylinder at the top of a well. A crank with a turning radius of 0.25 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.12 kg×m2 . If the bucket is raised to the top of the well and released, what is the acceleration of the bucket as it falls
toward the bottom of the well? (Assume rope's mass is negligible, that cylinder turns on frictionless bearings and that g = 9.8 m/s2.)
a. 3.2 m/s2
c. 7.4 m/s2
b. 3.8 m/s2
d. 9.8 m/s2
B
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