A Bucket of Water with Total Mass 23 Kg Is

question 17

Multiple Choice

A bucket of water with total mass 23 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
• B)6.3 m/s²
• C)7.4 m/s²
• D)9.8 m/s²

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Definitions:

Autonomy

The capacity to make an informed, uncoerced decision about one's own life and actions.

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Medical interventions or equipment used to keep a person alive who would otherwise fail to maintain autonomous bodily functions, including devices that assist respiration and circulation.

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A specific, consequence-based, ethical theory that judges as right the action that does the most good and least amount of harm for the greatest number of persons.

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