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Physics 321 Hour 33 Coupled Oscillators I
x1 x1 x2 k2 k3 k1 Example I
Assume solutions of the form: Note that is the same in both equations! – This defines a “normal mode.” Then Normal Modes
Eigenvalues are • Eigenvectors describe motion of the normal modes • Normal coordinates (not very useful!) Normal Modes
coupled oscillators.nb Example
normal coords.nb Example
Physics 321 Hour 34 Coupled Oscillators II
x2 k2 m Example II k1 M x1
coupled carts.nb Example