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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.
KeywordsAnalytical Dynamics Inertial Frame Chain Rule Constraint Force Critical Curve
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