Difference between revisions of "Forest UCM Osc"

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=Hooke's Law=
 
=Hooke's Law=
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[[Forest_UCM_Osc_HookesLaw]]
  
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=Simple Harmonic Motion (SHM)=
  
The Force exerted by a spring is proportional to the spring displacement from equilibrium and is directed towards restoring the equilibrium condition.  (a linear restoring force).
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[[Forest_UCM_Osc_SHM]]
  
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=2-D Oscillators=
  
In 1-D this force may be written as
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[[Forest_UCM_Osc_2-DOsc]]
  
:<math>F = - \frac{1}{2} kx</math>
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=Damped Oscillations=
 
 
 
 
Is this a conservative force?
 
  
1.) The force only depends on position.
 
  
2.) The work done is independent of path ( <math>\vec \nabla \times \vec F = 0</math> in 1-D and 3-D)
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[[Forest_UCM_Osc_Damped]]
  
=Simple Harmonic Motion (SHM)=
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=Damped Oscillations with driving source=
  
=2-D Oscillators=
 
  
=Damped Oscillations=
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[[Forest_UCM_Osc_Driven]]
  
 
=Resonance=
 
=Resonance=
  
  
 +
[[Forest_UCM_Osc_Resonance]]
  
 
[[Forest_Ugrad_ClassicalMechanics]]
 
[[Forest_Ugrad_ClassicalMechanics]]

Latest revision as of 12:06, 6 October 2014