Latest revision as of 12:06, 6 October 2014

Hooke's Law

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 =Hooke's Law=
+[[Forest_UCM_Osc_HookesLaw]]
+=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).
+[[Forest_UCM_Osc_SHM]]
+=2-D Oscillators=
-In 1-D this force may be written as
+[[Forest_UCM_Osc_2-DOsc]]
-:<math>F = - kx</math>
+=Damped Oscillations=
-Is this a conservative force?
-.) The force only depends on position.
-.) The work done is independent of path ( <math>\vec \nabla \times \vec F = 0</math> in 1-D and 3-D)
-==Potential==
+[[Forest_UCM_Osc_Damped]]
-:<math>U = - \int \vec F \cdot \vec r = - \int (-kx) dx = \frac{1}{2} k x^2</math>
+=Damped Oscillations with driving source=
-=Simple Harmonic Motion (SHM)=
-=2-D Oscillators=
+[[Forest_UCM_Osc_Driven]]
-=Damped Oscillations=
 =Resonance=
+[[Forest_UCM_Osc_Resonance]]
 [[Forest_Ugrad_ClassicalMechanics]]