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Unformatted text preview: is manifestly a three degree of freedom system. We, therefore, expect it to possess three independent normal modes of oscillation.
Equations (149) (150) generalize to
(202)
(203)
(204) These equations can be rewritten
(205)
(206)
(207) where . Let us search for a normal mode solution of the form (208)
(209)
(210) Equations (205) (210) can be combined to give the homogeneous matrix equation (211) where . The normal frequencies are determined by setting the determinant of the matrix to zero: that is,
(212) or
(213) Thus, the normal frequencies are , , and . According to the firs...
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This note was uploaded on 08/25/2013 for the course PHY 315 taught by Professor Staff during the Fall '08 term at University of Texas at Austin.
 Fall '08
 Staff
 Friction, Mass, Waves And Optics, Light

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