Difference between revisions of "Forest UCM Osc 2-DOsc"
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==Isotropic Oscillator== | ==Isotropic Oscillator== | ||
| − | + | The simplest 2-D oscillator that is composed of identical springs (same spring constant). | |
:<math> \vec F = -k( x \hat i + y \hat j)</math> | :<math> \vec F = -k( x \hat i + y \hat j)</math> | ||
| + | |||
| + | The equations of motion are separable two equations, one for each direction | ||
| + | |||
| + | : <math>\ddot x = - \omega^2x</math> | ||
| + | : <math>\ddot y = - \omega^2 y</math> | ||
| + | |||
[[Forest_UCM_Osc#2-D_Oscillators]] | [[Forest_UCM_Osc#2-D_Oscillators]] | ||
Revision as of 14:45, 4 October 2014
Two Dimensional Oscillators
Isotropic Oscillator
The simplest 2-D oscillator that is composed of identical springs (same spring constant).
The equations of motion are separable two equations, one for each direction