Difference between revisions of "Forest UCM Osc Damped"
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:<math> \sum \vec{F}_{ext} = -k\vec r - b \vec \dot v = m \vec \ddot r</math> | :<math> \sum \vec{F}_{ext} = -k\vec r - b \vec \dot v = m \vec \ddot r</math> | ||
:<math> \sum F_{ext} = -kx - b \dot x = m \ddot x</math>: in 1-D | :<math> \sum F_{ext} = -kx - b \dot x = m \ddot x</math>: in 1-D | ||
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| + | or | ||
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| + | :<math> m \ddot x -kx - b \dot x = 0</math>: in 1-D | ||
| + | |||
[[Forest_UCM_Osc#Damped_Oscillations]] | [[Forest_UCM_Osc#Damped_Oscillations]] | ||
Revision as of 12:34, 5 October 2014
1-D Damped Oscillaions
Equation of Motion
As in the case of air resistance, assume there is frictional force proportional to the velocity of the oscillation body.
- : in 1-D
or
- : in 1-D