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3
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Holonomic constraints as a limit of the motion under potential
In Mathematical Methods of Classical Mechanics, Arnold states the following theorem without proof in pages 75-76:
Let $\gamma$ be a smooth plane curve, and let $q_1, q_2$ be local coordinates where
$...
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1
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Meaning and Origin of an Expression which Involves Virtual Displacement
As an additional point of confusion related to the answer given here:
Confusion with Virtual Displacement
I have encountered the following expression in my study of virtual displacements.
$$\delta{...
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Invertibility of the Legendre Transformation
The above image shows the Legendre Transformation in the context of an introduction to the Hamiltonian formalism.
My question is in 4.6, wherein $u(x, y)$ has been defined; what is the guarantee ...
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