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)...
icon
Related questions
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.
Transcribed Image Text:**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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Torque
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON