eigen frequencies of the coupled oscillators
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3 Oscillators of equal mass are coupled such that the potential energy of the system is given by:
U = 1/2[k1*(x1^2+x3^2)+k2*x2^2 +k3(x1*x2+x2*x3)]
and k3=(2*k1*k2)^1/2
Find the eigen frequencies by solving the secular equation. What does the zero -frequency mode mean?
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This solution explains how to determine the eigen frequencies of a coupled oscillators systems by solving the secular equation. The solution is detailed and has a '5/5' rating.
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