The Drum Shown in the Figure Has a Radius of 0.40

question 57

Multiple Choice

The drum shown in the figure has a radius of 0.40 m and a moment of inertia of 2.3 $\mathrm { kg } \cdot \mathrm { m } ^ { 2 }$ about an axis perpendicular to it through its center.The frictional torque at the drum axle is 3.0 N ∙ m.A 14-m length of rope is wound around the rim.The drum is initially at rest.A constant force is exerted on the free end of the rope until the rope is completely unwound and slips off.At that instant,the angular speed of the drum is $23 \mathrm { rad } / \mathrm { s }$ The drum then slows down at a constant rate and comes to a halt.In this situation,what was the magnitude of the constant force that pulled the rope?

• A)51 N
• B)40 N
• C)29 N
• D)18 N
• E)7.5 N

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Definitions:

Central Nervous System

The central nervous system (CNS) is comprised of the brain and spinal cord, serving as the primary processing center for the entire nervous system, and is responsible for receiving, processing, and coordinating information throughout the body.

Parasympathetic Nervous System

Part of the autonomic nervous system that promotes relaxation, digestion, and nutrient absorption, counterbalancing the sympathetic nervous system.

Parasympathetic Nervous System

The part of the autonomic nervous system responsible for conserving energy and promoting rest and digest functions, often termed as the "rest and digest" system.

Stimulates Digestion

Refers to factors or substances that enhance the process of breaking down food into absorbable nutrients within the digestive system.