A Bucket of Water with Total Mass 30 Kg Is

question 23

Multiple Choice

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
• B) 3.8 m/s²
• C) 7.4 m/s²
• D) 9.8 m/s²

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Definitions:

Defaults

Failures to meet the legal obligations or conditions of a loan, contract, or agreement, often resulting in penalties or legal action.

Biological Determinism

The belief that human behavior and characteristics are solely determined by genetics and biological factors, neglecting the impact of environment.

Rational Evil

The concept that evil actions can stem from logical, calculated decisions made by individuals or groups, often for personal gain or ideological reasons.

Classical Criminology

A theoretical perspective suggesting that people have free will to choose criminal behavior influenced by the potential rewards and punishments.