Formulating Problems by Lagrange’s Equations

  • Reinhardt M. Rosenberg
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG)


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.


Kinetic Energy Force Component Drive Shaft Nonholonomic Constraint Cartesian Component 
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Copyright information

© Plenum Press, New York 1977

Authors and Affiliations

  • Reinhardt M. Rosenberg
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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