Formulating Problems by Lagrange’s Equations
Lagrange’s equations formulate the general, constrained dynamics problem without the need for fixing the coordinate system at the outset, and in terms of general constraints [provided only that they belong to the broad class of constraints defined in (11.2.14) and (11.2.15)]. This is, undoubtedly, the greatest contribution of Lagrangean mechanics to dynamics. However, an important feature, and one cherished greatly by the practitioner concerned with solving problems, is that Lagrange’s equations provide a very simple, and a nearly foolproof device for the mathematical formulation of a physical problem. This formulation must, of course, precede any attempts at the solution, and it can be difficult.
KeywordsKinetic Energy Force Component Drive Shaft Nonholonomic Constraint Cartesian Component
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