Difference between revisions of "Forest UCM Energy Line1D"
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The equation of motion for a system restricted to 1-D is readily solved from conservation of energy when the force is conservative. | The equation of motion for a system restricted to 1-D is readily solved from conservation of energy when the force is conservative. | ||
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:<math> \frac{1}{2} m \dot {x}^2 = E -U(x)</math> | :<math> \frac{1}{2} m \dot {x}^2 = E -U(x)</math> | ||
| − | : <math>dot x = \pm \sqrt{\frac{2\left (E-U(x) \right )}{m}}</math> | + | : <math>\dot x = \pm \sqrt{\frac{2\left (E-U(x) \right )}{m}}</math> |
Revision as of 12:07, 26 September 2014
The equation of motion for a system restricted to 1-D is readily solved from conservation of energy when the force is conservative.
- cosntant