Forest UCM Osc

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Hooke's Law

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).


In 1-D this force may be written as

[math]F = - \frac{1}{2} kx[/math]


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])

Simple Harmonic Motion (SHM)

2-D Oscillators

Damped Oscillations

Resonance

Forest_Ugrad_ClassicalMechanics