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Semi-Holonomic Constraint Forces Derivation Using d'Alembert's Principle
The other day I was in a lecture of Analytical Mechanics about d'Alembert's Principle, and specifically about semi-holonomic constraint forces.
At the lecture, my professor stated that the constraint ...
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Why must the total time derivative only be a linear function of velocity? [duplicate]
I'm hung up on page 7 of Landau & Lifshitz Course on Mechanics. They claim,
$$L(v'^2) = L(v^2)+\frac{\partial L}{\partial v^2}2\textbf v\cdot \epsilon \tag{p.7}$$
The second term on the right of ...