Difference between revisions of "Forest UCM LEq"
Jump to navigation
Jump to search
(Created page with " Forest_Ugrad_ClassicalMechanics") |
|||
| Line 1: | Line 1: | ||
| + | =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]] | [[Forest_Ugrad_ClassicalMechanics]] | ||
Revision as of 12:19, 23 October 2014
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.