- #1
Dixanadu
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Homework Statement
Hey guys.
The title says it all pretty much. We need to find the normal mode frequencies of a driven/forced system containing 3 equal masses connected by 4 springs of equal spring constant k.
Homework Equations
[itex]F=m\ddot{x}[/itex]
Spring potential
[itex]V = 0.5kx^{2}[/itex]
Force-potential relationship
[itex]F = -\frac{dV}{dx}[/itex]
Natural frequency of the system
[itex]ω_{0}^{2} = \frac{k}{m}[/itex]
The Attempt at a Solution
So, I'm gona type this up in word and show you guys what I've done. Obviously there are 3 masses, so we expect 3 normal mode frequencies. I've found two, I don't know how to get the third one.
https://imageshack.us/scaled/large/818/normalmodefrequencyques.jpg
Thanks again guys.
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