A Mass M = 4

question 35

Multiple Choice

A mass m = 4.0 kg is connected, as shown, by a light cord to a mass M = 6.0 kg, which slides on a smooth horizontal surface. The pulley rotates about a frictionless axle and has a radius R = 0.12 m and a moment of inertia I = 0.090 kg⋅m². The cord does not slip on the pulley. What is the magnitude of the acceleration of m?

• A) 2.4 m/s²
• B) 2.8 m/s²
• C) 3.2 m/s²
• D) 4.2 m/s²
• E) 1.7 m/s²

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Definitions:

Interthalamic Adhesion

Interthalamic adhesion is a small, midline mass of gray matter connecting the two thalamic bodies in the brain, involved in the integration of sensory and motor information.

Thalamus

A part of the brain located above the brainstem that acts as a relay station, directing sensory and motor signals to the cerebral cortex, and plays a role in the regulation of consciousness, sleep, and alertness.

Epithalamus

is a dorsal posterior segment of the diencephalon of the brain, important in the secretion of melatonin by the pineal gland and in sleep regulation.

Corpus Callosum

A thick band of nerve fibers that connects the two cerebral hemispheres, facilitating communication between them.