# Lagrangian formulation pdf

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a separate Lagrangian LA and LB respectively. If these parts do not interact, e.g. in the limit where the distance between the parts become so large that the interaction can be neglected, the Lagrangian of the system is given by L = LA + LB. This additivity states that the equations of motion of part A can not be dependent on Lecture L20 - Energy Methods: Lagrange’s Equations The motion of particles and rigid bodies is governed by Newton’s law. In this section, we will derive an alternate approach, placing Newton’s law into a form particularly convenient for multiple degree of freedom systems or systems in complex coordinate systems.