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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].

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Is the potential term in a Lagrangian velocity-dependent?

The lagrangian used to describe to Lorentz force for example, has a velocity dependent potential. The potential energy is $U = q \phi - q\vec{A} \cdot \dot{\vec{r}}$ which is sometimes called the gene …
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