Difference between revisions of "Forest UCM LEq"
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| − | :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. | + | :Of all possible paths along which a dynamical system may move from on point to another within a specified time interval, 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 within a specified time interval, the actual path followed is that which minimizes the time integral of the difference between the kinetic and potential energies.