P19. A cylinder with mass of M and radius R can rotate about a vertical, frictionless axle. A se- cond cylinder, this one having mass m and radius r and initially rotating with angular speed wo, drops onto the first cylinder from small height (see the figu- re). Because of friction between the surfaces, the two eventually reach the same angular speed w. Wo m M R a) Find the value of w. b) Calculate the ratio of the final to the initial ro- tational energy. 3.
P19. A cylinder with mass of M and radius R can rotate about a vertical, frictionless axle. A se- cond cylinder, this one having mass m and radius r and initially rotating with angular speed wo, drops onto the first cylinder from small height (see the figu- re). Because of friction between the surfaces, the two eventually reach the same angular speed w. Wo m M R a) Find the value of w. b) Calculate the ratio of the final to the initial ro- tational energy. 3.
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 121CP: The angular acceleration of a rotating rigid body is given by =(2.0-3.0t)rad/s2 . If the body starts...
Related questions
Concept explainers
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
Question
![P19. A cylinder with mass of M and radius R
can rotate about a vertical, frictionless axle. A se-
cond cylinder, this one having mass m and radius r
and initially rotating with angular speed wo, drops
onto the first cylinder from small height (see the figu-
re). Because of friction between the surfaces, the two
eventually reach the same angular speed w.
m
M
R
a) Find the value of w.
b) Calculate the ratio of the final to the initial ro-
tational energy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f741f6e-2c1a-44cb-86ab-cd903d598b07%2F17fb90e8-e84b-4f26-8a0e-ca005df1eb4d%2Fgvqdpm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:P19. A cylinder with mass of M and radius R
can rotate about a vertical, frictionless axle. A se-
cond cylinder, this one having mass m and radius r
and initially rotating with angular speed wo, drops
onto the first cylinder from small height (see the figu-
re). Because of friction between the surfaces, the two
eventually reach the same angular speed w.
m
M
R
a) Find the value of w.
b) Calculate the ratio of the final to the initial ro-
tational energy.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![Glencoe Physics: Principles and Problems, Student…](https://www.bartleby.com/isbn_cover_images/9780078807213/9780078807213_smallCoverImage.gif)
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
![Physics for Scientists and Engineers, Technology …](https://www.bartleby.com/isbn_cover_images/9781305116399/9781305116399_smallCoverImage.gif)
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning