Concept explainers
To identify: Whether the moment of inertia of solid ball and hollow ball are equal or not. If not, then state the ball that will have greater moment of inertia.
Answer to Problem 22PP
No, the moment of inertia of solid ball and hollow ball are not equal.
Moment of inertia hollow ball is greater than moment inertia of solid ball.
Explanation of Solution
Given :
Dimension and mass of both the balls are equal.
Formula used :
Moment of inertia of solid sphere is ;
Moment of inertia of hollow sphere is ;
Here, M is mass and R is radius.
Calculation :
It is given that both the balls have equal dimension.
Let the radius of both the ball is R and mass is M.
Moment of inertia of solid ball is ;
Moment of inertia of hollow ball is ;
Dividing equation 1 by equation2.
Conclusion :
Therefore, moment of inertia of hollow ball will be greater than moment of inertia of solid ball.
Chapter 8 Solutions
Glencoe Physics: Principles and Problems, Student Edition
Additional Science Textbook Solutions
Lecture- Tutorials for Introductory Astronomy
Tutorials in Introductory Physics
College Physics (10th Edition)
Physics: Principles with Applications
University Physics with Modern Physics (14th Edition)
University Physics Volume 1
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON