If you have ever had to study and teach classical mechanics, then one of the challenges is to explain the equivalences of distinct formulations of the equations of motion for discrete mechanical systems. It is not transparent, particularly in the presence of constraints, how the Newton-Euler equations, Lagrange’s equations, Gibbs-Appell equations, Maggi's equations, Kane’s equations, Boltzmann-Hamel equations, and several other fomulations, are equivalent.
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