- #1

anton01

- 4

- 0

## 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.