You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I=3.88 kg⋅m2 as shown. The magnitude of the tension force of you on the pulley is 348.8 N. A backpack of mass 33.9 kg is attached to the pulley's inner radius as shown. If the inner radius of the pulley is 0.43 m and the outer radius is 0.7 m, what is the magnitude of the linear acceleration of the backpack? The image depicts a simplified sketch of a pulley system being used by a stick figure to lift a large object over a cliff edge. The diagram illustrates the basic principles of mechanical advantage provided by a pulley:1. **Pulley and Rope Setup**: - A circular pulley is fixed near the edge of the cliff. - A rope is looped over the pulley, extending downward with one end attached to a heavy object at the base.2. **Stick Figure and Effort**: - A stick figure is standing on the cliff, holding the other end of the rope. - The stick figure is pulling the rope, demonstrating the use of force to lift the object.3. **Object Being Lifted**: - Below the cliff, a large rock or weight is depicted, which represents the load being lifted by the stick figure through the use of the pulley system.The diagram serves to illustrate the concept of pulleys as simple machines that help in lifting heavy loads by changing the direction of the applied force and distributing weight more evenly.

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Answered: You are pulling on a rope attached to…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I=3.88 kg⋅m2 as shown. The magnitude of the tension force of you on the pulley is 348.8 N. A backpack of mass 33.9 kg is attached to the pulley's inner radius as shown. If the inner radius of the pulley is 0.43 m and the outer radius is 0.7 m, what is the magnitude of the linear acceleration of the backpack?

The image depicts a simplified sketch of a pulley system being used by a stick figure to lift a large object over a cliff edge. The diagram illustrates the basic principles of mechanical advantage provided by a pulley:

1. **Pulley and Rope Setup**:
- A circular pulley is fixed near the edge of the cliff.
- A rope is looped over the pulley, extending downward with one end attached to a heavy object at the base.

2. **Stick Figure and Effort**:
- A stick figure is standing on the cliff, holding the other end of the rope.
- The stick figure is pulling the rope, demonstrating the use of force to lift the object.

3. **Object Being Lifted**:
- Below the cliff, a large rock or weight is depicted, which represents the load being lifted by the stick figure through the use of the pulley system.

The diagram serves to illustrate the concept of pulleys as simple machines that help in lifting heavy loads by changing the direction of the applied force and distributing weight more evenly.

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