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Counterexample

Is this true?

The generalised momentum ∂L/∂q\partial{}L/\partial{}q̇ always equals mass × velocity

No — it is false.

The counterexample

The object that kills this claim comes with Trap Analysis.

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86 counterexamples are free — including most of the ones Part C leans on hardest.

Go deeper· Explained in full in Lagrangian mechanics· Asked in CSIR NET June 2025· From Classical Mechanics › Lagrangian formalism and generalised coordinates

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