The generalized coordinates and description about the rolling disk.
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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Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning