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Dynamics of Particles and Rigid Bodies: A Self-Learning Approach
ISBN:
9781119463207
No. of Pages:
386
Publisher:
ASME Press
Publication date:
2019
eBook Chapter
5 Dynamics of Particles: Analytical Approach
Page Count:
44
-
Published: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
5.2Lagrange’s Equation for a Conservative System
5.3Lagrange’s Equation for Non-conservative Systems
5.4Lagrange’s Equations with Constraints
5.5Cyclic Coordinates
5.6Advantages and Disadvantages of the Analytical Approach
Exercises
References
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