Water Is Drawn from a Well in a Bucket Tied

question 64

Multiple Choice

Water is drawn from a well in a bucket tied to the end of a rope whose other end wraps around a solid cylinder of mass 50 kg and diameter 25 cm. As this cylinder is turned with a crank, the rope raises the bucket. The mass of a bucket of water is 20 kg. Someone cranks the bucket up, lets go of the crank, and the bucket of water falls down to the bottom of the well. Without friction or air resistance, what is the angular acceleration of the 50-kg cylinder?

• A) 1.1  10² rad/s²
• B) 3.6 rad/s²
• C) 35 rad/s²
• D) 63 rad/s²
• E) 17 rad/s²

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Definitions:

Suicidal

Having thoughts of, inclinations towards, or planning for self-inflicted lethal harm.

Hypomania

A mood state characterized by persistent disinhibition and elevation (euphoria) that is less severe than full-blown manic episodes but more intense than normal happiness.

Hopelessness Depression

A form of depression characterized by a negative outlook on the future, feeling that one has no way to improve their situation.

Nonsuicidal Self-injury

Deliberate harm inflicted on one's own body without suicidal intent, often as a way to cope with emotional distress.