Difference between revisions of "Forest UCM Osc"
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| Line 8: | Line 8: | ||
In 1-D this force may be written as | In 1-D this force may be written as | ||
| − | :<math>F = - | + | :<math>F = - kx</math> |
| Line 16: | Line 16: | ||
2.) The work done is independent of path ( <math>\vec \nabla \times \vec F = 0</math> in 1-D and 3-D) | 2.) The work done is independent of path ( <math>\vec \nabla \times \vec F = 0</math> in 1-D and 3-D) | ||
| + | |||
| + | ==Potential== | ||
| + | |||
| + | :<math>U = - \int \vec F \cdot \vec r = - \int (-kx) dx = \frac{1}{2} k x^2</math> | ||
=Simple Harmonic Motion (SHM)= | =Simple Harmonic Motion (SHM)= | ||
Revision as of 23:00, 30 September 2014
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
Is this a conservative force?
1.) The force only depends on position.
2.) The work done is independent of path ( in 1-D and 3-D)