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Forums
Physics
Classical Physics
Mechanics
Can I always consider velocities and coordinates to be independent?
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[QUOTE="PeroK, post: 6789971, member: 493650"] The fundamental starting point for Lagrangian mechanics is to study the functional form of the Lagrangian in terms of an abstract function of independent variables: the coordinates and their first time derivatives. This functional analysis yields the Euler-Lagrange equations as an alternative to Newton's second law. At this point, the quantities resume their normal role as the analysis switches to the time-based trajectories or solutions to the physical problem. I.e. when we actually solve the Euler-Lagrange equations. This strategy is often not explained very clearly in textbooks. [/QUOTE]
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Forums
Physics
Classical Physics
Mechanics
Can I always consider velocities and coordinates to be independent?
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