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Coupled oscillators

by Tuneman
Tags: coupled, oscillators
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Tuneman
#1
Dec3-05, 08:13 PM
P: 42
Ok here's the problemo:

|
|ooooo[m1]00000[m2]
|


I have two masses attached to two springs, the "ooo"s are the springs, and the "[m]"s are the masses, the spring constants are the same , and so are the masses. I know to do the problem, the only thing is I am having trouble figuring out the equations of the forces on the two masses.


I thought [tex] F_1 = -kx_1 + k(x_2 - x_1) , F_2 = kx_1 - kx_2 [/tex]

where [tex] x_1 [/tex] is the displacement to the right from [tex] m_1 [/tex] and [tex] x_2 [/tex] is the displacement to the right from [tex] m_2 [/tex]
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Physics Monkey
#2
Dec3-05, 08:27 PM
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You probably need some unstretched lengths in there somewhere otherwise your masses are going to be beating against the wall and each other.
Tuneman
#3
Dec3-05, 09:55 PM
P: 42
Well they are at position zero as they appear in the picture and then they are moved to the right

Physics Monkey
#4
Dec3-05, 10:20 PM
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Coupled oscillators

Ah, ok, that works too. Looks like you have it right then.


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