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Lagrangian Mechanics

  • Nicholas M. J. WoodhouseEmail author
Chapter
  • 2.9k Downloads
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

In this chapter, we extend the techniques developed in Chapter 2 to systems with several degrees of freedom. These are systems in which more than one coordinate is needed to specify the configuration at any time. Our aim is to determine and then to analyse the differential equations that determine the evolution of the configuration by applying Newton’s laws of motion to the component parts of the system. The Lagrangian method greatly simplifies the task. Indeed, in many of the examples that we consider, any more direct approach would be intractable.

Keywords

Analytical Dynamics Inertial Frame Chain Rule Constraint Force Critical Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London 2009

Authors and Affiliations

  1. 1.Mathematical Institute University of OxfordOxfordUnited Kingdom

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