- #1
anton01
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Homework Statement
The problem asked us to show that the Euler-Lagrange's equations are invariant under a point transformation q[itex]_{i}[/itex]=q[itex]_{i}[/itex](s[itex]_{1}[/itex],...,s[itex]_{n}[/itex],t), i=1...n. Give a physical interpretation.
Homework Equations
[itex]\frac{d}{dt}(\frac{\partial L}{\partial \dot{s_{j}}})[/itex]=[itex]\frac{\partial L}{\partial s_{j}}[/itex]
The Attempt at a Solution
I proved the invariance.
I am stumped with the physical interpretation. Except for the fact that the E-L equations are invariant when we change coordinates pointwise, I don't see any other physical interpretation. But this answer seems just repeating their question.