A String Is Wrapped Tightly Around a Fixed Pulley That $0.0352 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$

question 110

Multiple Choice

A string is wrapped tightly around a fixed pulley that has a moment of inertia of $0.0352 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ and a radius of 12.5 cm. A mass of 423 g is attached to the free end of the string. With the string vertical and taut, the mass is gently released so it can descend under the influence of gravity. As the mass descends, the string unwinds and causes the pulley to rotate, but does not slip on the pulley. What is the speed of the mass after it has fallen through 1.25 m ?

• A) 4.95 m/s
• B) 1.97 m/s
• C) 2.00 m/s
• D) 3.94 m/s
• E) 2.28 m/s

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Definitions:

Neurotic Trends

Patterns or tendencies in behavior and thought that are considered maladaptive, often related to neurotic needs and contributing to personal distress or dysfunction.

Basic Adjustments

Refers to the fundamental strategies or coping mechanisms that an individual employs in response to environmental demands or challenges in their life.

Fromm's

A psychological and philosophical inquiry into human freedom, love, and the art of living, introduced by psychoanalyst Erich Fromm.

Locus of Control

A psychological concept that refers to an individual's belief about the extent to which their actions can influence outcomes in their life, classified into internal and external loci of control.