(16) Three Spring-Coupled Masses

This is manifestly a three degree of freedom system

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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.

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