Forest UCM LEq

Lagrange's Equations

Lagrange's principle

Lagrange's principle falls out of the calculus of variations in that seeking the shortest time interval is the focus of the variations.

Of all possible paths along which a dynamical system may move from on point to another, the actual path followed is that which minimizes the time integral of the difference between the kinetic and potential energies.

Forest_Ugrad_ClassicalMechanics