Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
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Question
Chapter 7, Problem 7.1P
To determine
The generalized coordinates and description about the rolling disk.
Expert Solution & Answer
Answer to Problem 7.1P
The generalized coordinates and description about the rolling disk are given.
Explanation of Solution
In order to describe the rolling of disk without slipping, four generalized coordinates are required. They are – x coordinate, y coordinate, angle
Equation of motion for the rolling disk is,
Here,
These equations are not integrable. Moreover, all the generalized coordinates cannot be combined into a single equation. Hence, the constraints are nonholonomic.
Conclusion:
Therefore, generalized coordinates and description about the rolling disk are given.
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Chapter 7 Solutions
Classical Dynamics of Particles and Systems
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