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Dynamics of Particles and Rigid Bodies: A Self-Learning Approach

By
Mohammed F. Daqaq
Mohammed F. Daqaq
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ISBN:
9781119463207
No. of Pages:
386
Publisher:
ASME Press
Publication date:
2019

In this chapter, the analytical approach to dynamics is presented. In particular, Lagrange’s equations for conservative and non-conservative systems and Hamilton’s principle are derived and applied to the modeling of the motion of particles.

5.1
The Brachistochrone Problem
5.2
Lagrange’s Equation for a Conservative System
5.3
Lagrange’s Equation for Non-conservative Systems
5.4
Lagrange’s Equations with Constraints
5.5
Cyclic Coordinates
5.6
Advantages and Disadvantages of the Analytical Approach
Exercises
References
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