Lagrangian and equation of motion

1. Dec 13, 2006

vivitribal

In general how do you demonstrate that a given Lagrangian equation provides the correct equation of motion?

2. Dec 14, 2006

dextercioby

By computing the equations of motion ?

Daniel.

3. Dec 14, 2006

HallsofIvy

The whole point of using the Lagrangian is that any physically possible motion must make the Lagrangian (Kinetic energy minus potential energy) an extremum. Apply "calculus of variations" (essentially the Euler-Lagrange equation) to the Lagrangian to derive the equations of motion.