Derive Euler Lagrange equations of motion.

Does anyone know how to derive the Euler Lagrange equations of motion from Newtons second law $\displaystyle F=ma$. any help would be greatly appreciated. I know it can be done using the principle of least action but would prefer the first Cheers. any links,vids etc all welcome.

Re: Derive Euler Lagrange equations of motion.

It should be on goldsteins book. I dont have a link right now but there should be one on internet.

Re: Derive Euler Lagrange equations of motion.

Goldstein does have a good derivation. This is also good.

-Dan