(a)
The rotational inertia of the arrangement.
(a)
Answer to Problem 6P
The rotational inertia of the arrangement is
Explanation of Solution
The arrangement of the point mass is given in the Figure (a). Given that the mass of the point masses are
Write the expression for the rotational inertia of the given system.
Here,
In the given arrangement, the axis of rotation passes through B and C. Thus
Conclusion:
Substitute
Therefore, the rotational inertia of the arrangement is
(b)
The rotational inertia of the arrangement.
(b)
Answer to Problem 6P
The rotational inertia of the arrangement is
Explanation of Solution
The arrangement of the point mass is given in the Figure (b). Given that the mass of the point masses are
Write the expression for the rotational inertia of the given system.
In the given arrangement, the axis of rotation passes through A and C. Thus
Conclusion:
Substitute
Therefore, the rotational inertia of the arrangement is
(c)
The rotational inertia of the arrangement.
(c)
Answer to Problem 6P
The rotational inertia of the arrangement is
Explanation of Solution
The arrangement of the point mass is given in the Figure (c). Given that the mass of the point masses are
Write the expression for the rotational inertia of the given system.
In the given arrangement, the axis of rotation passes through the center of the square. The distance
Conclusion:
Substitute
Therefore, the rotational inertia of the arrangement is
Want to see more full solutions like this?
Chapter 8 Solutions
Physics
- 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