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
  
 
[[Forest_UCM_Osc#Damped_Oscillations]]
 
[[Forest_UCM_Osc#Damped_Oscillations]]

Revision as of 12:33, 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.


[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

Forest_UCM_Osc#Damped_Oscillations

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