**Problem Statement:**15) The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P? Explain why.**Diagram Descriptions:**- **Object A:** Small circle with a point labeled P at its center.- **Object B:** Larger circle with radial lines, resembling a wheel with spokes. Point P is at the center.- **Object C:** Large filled circle with point P at its center.- **Object D:** A partial circle or arc with vertical thickness, point P is near the center line of the arc.**Explanation:**To determine which object has the greatest moment of inertia, consider the distribution of mass relative to the rotation axis located at point P. The moment of inertia depends on the distance of mass from the axis:- **Object A** and **B** have their masses close to the axis at P.- **Object C** has a uniformly distributed mass, with more mass farther from the center compared to A.- **Object D**, with its vertical mass distribution, has a significant portion of its mass farthest from point P.Typically, objects with more mass distributed further from the axis of rotation have a greater moment of inertia. Thus, in this case, **Object C** likely has the greatest moment of inertia because it is a large circle with mass distributed farther out uniformly compared to the other shapes.

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15) The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P? Explain why. A. lanotion of

15) The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P? Explain why. A. lanotion of

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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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

**Problem Statement:**

15) The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P? Explain why.

**Diagram Descriptions:**

- **Object A:** Small circle with a point labeled P at its center.
- **Object B:** Larger circle with radial lines, resembling a wheel with spokes. Point P is at the center.
- **Object C:** Large filled circle with point P at its center.
- **Object D:** A partial circle or arc with vertical thickness, point P is near the center line of the arc.

**Explanation:**

To determine which object has the greatest moment of inertia, consider the distribution of mass relative to the rotation axis located at point P. The moment of inertia depends on the distance of mass from the axis:

- **Object A** and **B** have their masses close to the axis at P.
- **Object C** has a uniformly distributed mass, with more mass farther from the center compared to A.
- **Object D**, with its vertical mass distribution, has a significant portion of its mass farthest from point P.

Typically, objects with more mass distributed further from the axis of rotation have a greater moment of inertia. Thus, in this case, **Object C** likely has the greatest moment of inertia because it is a large circle with mass distributed farther out uniformly compared to the other shapes.

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