BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278

Solutions

Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278
Chapter 10, Problem 23P
Textbook Problem
29 views

Following the procedure used in Example 10.7, prove that the moment of inertia about the y′ axis of the rigid rod in Figure 10.15 is 1 3 M L 2 .

To determine

The moment of inertia about the y' axis of the rigid rod.

Explanation of Solution

Moment of inertia is defined as the product of the mass of the body to the distance from the rotational axis.

The figure that shows the rigid rod is shown below:

Figure (I)

Consider a small mass dm at a distance of x from the vertical y' axis. Assume the linear mass density of the rod is λ.

Formula to calculate the moment of inertia of the rod from the vertical y' axis is,

    Iy'=0Lx2dm        (I)

Here, Iy' is the moment of inertia of the rod from the vertical y' axis, x is the distance of the small mass from the vertical axis and dm is the arbitrary small mass of the rod.

Formula to calculate the arbitrary small mass of the rod is,

    dm=λdx

Here, dx is the length of the small mass.

Formula to calculate the linear mass density of the rod is,

    λ=ML

Here, M is the mass of the rigid rod and L is the length of the rod

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 10 Solutions

Physics for Scientists and Engineers
Show all chapter solutions
add
Ch. 10 - A machine part rotates at an angular speed of...Ch. 10 - A dentists drill starts from rest. After 3.20 s of...Ch. 10 - Why is the following situation impossible?...Ch. 10 - Review. Consider a tall building located on the...Ch. 10 - Make an order-of-magnitude estimate of the number...Ch. 10 - A discus thrower (Fig. P10.9) accelerates a discus...Ch. 10 - A straight ladder is leaning against the wall of a...Ch. 10 - A car accelerates uniformly from rest and reaches...Ch. 10 - Review. A small object with mass 4.00 kg moves...Ch. 10 - In a manufacturing process, a large, cylindrical...Ch. 10 - Find the net torque on the wheel in Figure P10.14...Ch. 10 - A grinding wheel is in the form of a uniform solid...Ch. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - A model airplane with mass 0.750 kg is tethered to...Ch. 10 - A disk having moment of inertia 100 kg m2 is free...Ch. 10 - Your grandmother enjoys creating pottery as a...Ch. 10 - At a local mine, a cave-in has trapped a number of...Ch. 10 - You have just bought a new bicycle. On your first...Ch. 10 - Imagine that you stand tall and turn about a...Ch. 10 - Following the procedure used in Example 10.7,...Ch. 10 - Two balls with masses M and m are connected by a...Ch. 10 - Rigid rods of negligible mass lying along the y...Ch. 10 - A war-wolf or trebuchet is a device used during...Ch. 10 - Big Ben, the nickname for the clock in Elizabeth...Ch. 10 - Consider two objects with m1 m2 connected by a...Ch. 10 - Review. An object with a mass of m = 5.10 kg is...Ch. 10 - Why is the following situation impossible? In a...Ch. 10 - A uniform solid disk of radius R and mass M is...Ch. 10 - This problem describes one experimental method for...Ch. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - A smooth cube of mass m and edge length r slides...Ch. 10 - A metal can containing condensed mushroom soup has...Ch. 10 - You have been hired as an expert witness in the...Ch. 10 - A shaft is turning at 65.0 rad/s at time t = 0....Ch. 10 - A shaft is turning at angular speed at time t =...Ch. 10 - An elevator system in a tall building consists of...Ch. 10 - The hour hand and the minute hand of Big Ben, the...Ch. 10 - Review. A string is wound around a uniform disk of...Ch. 10 - Review. A spool of wire of mass M and radius R is...Ch. 10 - Review. A clown balances a small spherical grape...Ch. 10 - As a gasoline engine operates, a flywheel turning...Ch. 10 - A spool of thread consists of a cylinder of radius...Ch. 10 - To find the total angular displacement during the...Ch. 10 - A uniform, hollow, cylindrical spool has inside...Ch. 10 - A cord is wrapped around a pulley that is shaped...

Additional Science Textbook Solutions

Find more solutions based on key concepts
Show solutions add
Divide into two groups. One group will argue in support of using superfoods, and one group will argue against t...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

13-38 (Chemical Connections 13A) What is meant by the term biodegradable?

Introduction to General, Organic and Biochemistry

How can you be sure that giant stars really are Larger than main- sequence stars?

Horizons: Exploring the Universe (MindTap Course List)

In what way has biotechnology had an impact on agriculture in the United States?

Human Heredity: Principles and Issues (MindTap Course List)

How were the rotation periods of Uranus and Neptune measured?

Foundations of Astronomy (MindTap Course List)

Can more water vapor be held in warm air or cool air?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin