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The Drum Shown in the Figure Has a Radius of 0.40

question 22

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The drum shown in the figure has a radius of 0.40 m and a moment of inertia of 2.3 kgm2\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 applied to 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 23rad/s23 \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 applied to the rope?  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 applied to 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 applied to the rope?   A) 51 N B) 40 N C) 29 N D) 18 N E) 7.5 N


Definitions:

MRP System

Material Requirements Planning System, a computer-based system used for planning and scheduling production and inventory control.

Bill of Materials

A comprehensive list detailing all materials, components, and assemblies required to build or manufacture a finished product.

Flexibility

The ability of a system, process, or entity to adapt to changes, variations, or unforeseen circumstances without significant loss in efficiency or performance.

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