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What is the tension in the rope while the bucket is falling?

With what speed does the bucket strike the water?

What is the time of fall?

While the bucket is falling, what is the force exerted on the cylinder by the axle?

** The gravitational force on the dropping bucket provides all the accelerations: the bucket's downward acceleration and the cylinder's rotational accleration (torque = tangential force x radius of cylinder)

mg - T= ma = F_{bucket}

Torque = I_{cyl}\alpha

alpha = a_{bucket}r

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