Coupled Forced Oscillators- Small Question-

AI Thread Summary
In the discussion about coupled forced oscillators, the focus is on determining which mass to excite for optimal resonance in a triatomic molecule configuration. The highest frequency mode is identified as occurring when the outer masses are in phase and the middle mass is in counterphase. A suggestion is made to try exciting both the outer and middle masses to compare resonance effectiveness. The assumption is that "better" refers to achieving resonance with less energy input. Ultimately, the middle mass is considered the likely candidate for excitation to achieve the highest frequency mode.
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I have the infamous triatomic molecule, with two m masses in the extremes and one 2m mass in the middle, joined by two k springs. I have worked all through the problem (found frequencies, normal modes, drawn configurations, initial conditions) with no hindrances, but I can't seem to get the last question.

It says: If a harmonic force is applied to one of the masses, to which would it be better to excite better the highest frequency mode?

Btw, the highest freq. mode is w^2= 2k/m and it happens with the first and third masses are in phase, with the middle mass in counterphase (1,-1,1)

How do I know which mass should I excite?

Thanks

Sol.[/color]
 
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You can try both, and then see which one gives better resonance. My intuition tells me that the mass in the middle would be the one. I'm assuming that "better" means "less energy required."
 
Thanks

Sol.[/color]
 
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