You accidentally knock a full bucket of water off the side of the well shown in the figure. The bucket plunges a distance L to the bottom of the well. Attached to the bucket is a light rope that is wrapped around the crank cylinder. The mass of the bucket plus water within it is M. The crank is a solid cylinder which has a radius of R and mass of m. The moment of intertia of a solid cylinder through its long axis is I=(1/2)mR2. (assume the small handle's inertia is negligable in comparison with the crank cylinder). a) set up the energy equation for when the bucket hits the bottom. Find an expression for how fast the bucket moves as it hits the bottom of the well. Your expression may contain the variables m, M, R, L and any constants. b) How fast is the handle turning when the bucket hits the bottom? your expression may contain the variables M, R, L and any constants.
You accidentally knock a full bucket of water off the side of the well shown in the figure. The bucket plunges a distance L to the bottom of the well. Attached to the bucket is a light rope that is wrapped around the crank cylinder. The mass of the bucket plus water within it is M. The crank is a solid cylinder which has a radius of R and mass of m. The moment of intertia of a solid cylinder through its long axis is I=(1/2)mR2. (assume the small handle's inertia is negligable in comparison with the crank cylinder).
a) set up the energy equation for when the bucket hits the bottom. Find an expression for how fast the bucket moves as it hits the bottom of the well. Your expression may contain the variables m, M, R, L and any constants.
b) How fast is the handle turning when the bucket hits the bottom? your expression may contain the variables M, R, L and any constants.
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