University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 10, Problem 10.5CYU

Check Your Understanding What is the moment of inertia of a cylinder of radius R and mass m about an axis through a point on the surface, as shown below?

Chapter 10, Problem 10.5CYU, Check Your Understanding What is the moment of inertia of a cylinder of radius R and mass m about an , example  1

A uniform thin disk about an axis through the center

Integrating to find the moment of inertia of a two-dimensional object is a little bit trickier, but one shape is commonly done at this level of study—a uniform thin disk about an axis through its center (Figure 10.27).

Chapter 10, Problem 10.5CYU, Check Your Understanding What is the moment of inertia of a cylinder of radius R and mass m about an , example  2

Figure 10.27 Calculating the moment of inertia for a thin disk about an axis through its center.

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Chapter 10 Solutions

University Physics Volume 1

Ch. 10 - A baseball bat is swung. Do all points on the bat...Ch. 10 - The blades of a blender on a counter are rotating...Ch. 10 - If a rigid body has a constant angular...Ch. 10 - If a rigid body has a constant angular...Ch. 10 - If the angular acceleration of a rigid body is...Ch. 10 - A massless tether with a masses tied to both ends...Ch. 10 - Explain why centripetal acceleration changes the...Ch. 10 - In circular motion, a tangential acceleration can...Ch. 10 - Suppose a piece of food is on the edge of a...Ch. 10 - What if another planet the same size as Earth were...Ch. 10 - A solid sphere is rotating about an axis through...Ch. 10 - If a child walks toward the center of a...Ch. 10 - A discus thrower rotates with a discus in his hand...Ch. 10 - Does increasing the number of blades on a...Ch. 10 - The moment of inertia of a long rod spun around an...Ch. 10 - Why is the moment of inertia of a hoop that has a...Ch. 10 - What three factors affect the torque created by a...Ch. 10 - Give an example in which a small force exerts a...Ch. 10 - When reducing the mass of a racing bike, the...Ch. 10 - Can a single force produce a zero torque?Ch. 10 - Can a set of forces have a net torque that is zero...Ch. 10 - Can a set of forces have a net force that is zero...Ch. 10 - Prob. 25CQCh. 10 - If you were to stop a spinning wheel with a...Ch. 10 - Prob. 27CQCh. 10 - Calculate the angular velocity of Earth.Ch. 10 - A track star runs a 400-m race on a 400-m circular...Ch. 10 - A wheel rotates at a constant rate of...Ch. 10 - A particle moves 3.0 m along a circle of radius...Ch. 10 - A compact disc rotates at 500 rev/min. If the...Ch. 10 - Unreasonable results. 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