A Bucket of Water with Total Mass 26 Kg Is

question 75

Multiple Choice

A bucket of water with total mass 26 kg is attached to a rope,which in turn is wound around a 0.04-m radius cylinder at the top of a well.A crank with a turning radius of 0.20 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.11 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)1.9 m/s²
• B)2.7 m/s²
• C)9.8 m/s²
• D)7.9 m/s²
• E)7.1 m/s²

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Definitions:

Caspi

Refers to Avshalom Caspi, a psychologist known for his work in life-course developmental psychology, notably linking genetic factors to behavioral outcomes.

Plasticity Principle

The concept that the brain is capable of changing and adapting in response to experience, learning, or injury, throughout a person's life.

Person-Environment Transactions

The dynamic and reciprocal interaction between an individual and their environment, shaping and being shaped by it.

Maladaptive

Behaviors or ways of thinking that may be counterproductive or hinder a person’s ability to effectively cope with their surroundings or circumstances.