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Classical mechanics discusses the behaviour of macroscopic bodies under the influence of forces (without necessarily specifying the origin of these forces). If it's possible, USE MORE SPECIFIC TAGS like [newtonian-mechanics], [lagrangian-formalism], and [hamiltonian-formalism].

3 votes

Adding a total time derivative term to the Lagrangian

If you follow some of the steps in the derivations, you might wonder where the importance of the time derivative of $F$ matters. One of the equations presented in the question, the one under where it …
Christopher's user avatar
0 votes

Generalized force arising from a velocity-dependent potential

Earlier, I thought this could be derived. An earlier answer said it is defined this way, but why was it defined this way is the important thing to find out. To do that, we have to go back to the devel …
Christopher's user avatar