/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 3 Why doesn't it make sense to tal... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Problem 3

Why doesn't it make sense to talk about a body's rotational inertia unless you specify a rotation axis?

Short Answer

Expert verified
Without a specific rotation axis, the distribution of the object's mass changes. This dictates the value of its rotational inertia, making it physically meaningless and unquantifiable without a specified axis of rotation.

Step by step solution

01

Definition of Rotational Inertia

Rotational inertia, also known as the moment of inertia, is a measure of an object's resistance to changes in its rotation speed. This depends on the mass of the object and its distribution of mass around the axis of rotation.
02

Explaining the Effect of Axis of Rotation

The distribution of mass changes with change in axis of rotation. This is because different parts of the object can be closer or further from the axis of rotation, which influences the object's resistance to rotational changes. Hence, specifying the axis of rotation is integral to a discussion about an object's rotational inertia.
03

Concluding the Role of Axis of Rotation

Without specifying an axis of rotation, the value for the body's rotational inertia would be physically meaningless and unquantifiable because it鈥檚 varying as per the change of axis. Thus, when discussing the rotational inertia of a body, it is fundamentally necessary to specify an axis of rotation.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Calculate the rotational inertia of a solid, uniform right circular cone of mass \(M,\) height \(h,\) and base radius \(R\) about its axis.

The lower part of a horse's leg contains essentially no muscle. How does this help the horse to run fast? Explain in terms of rotational inertia.

A skater's body has rotational inertia \(4.2 \mathrm{kg} \cdot \mathrm{m}^{2}\) with his fists held to his chest and \(5.7 \mathrm{kg} \cdot \mathrm{m}^{2}\) with his arms outstretched. He's twirling at 3.1 rev/s while holding 2.5 -kg weights in each outstretched hand; the weights are \(76 \mathrm{cm}\) from his rotation axis. If he pulls his hands to his chest, so the weights are essentially at his rotation axis, how fast will he be rotating?

A 50 -kg mass is tied to a massless rope wrapped around a solid cylindrical drum, mounted on a frictionless horizontal axle. When the mass is released, it falls with acceleration \(a=3.7 \mathrm{m} / \mathrm{s}^{2} .\) Find (a) the rope tension and (b) the drum's mass.

A thick ring has inner radius \(\frac{1}{2} R,\) outer radius \(R,\) and mass \(M\) Find an expression for its rotational inertia. (Hint: Consult Example \(10.7 .)\)
See all solutions

Recommended explanations on Physics Textbooks

Translational Dynamics

Read Explanation

Fundamentals of Physics

Read Explanation

Torque and Rotational Motion

Read Explanation

Astrophysics

Read Explanation

Energy Physics

Read Explanation

Measurements

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.