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Physics 321

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## Physics 321

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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