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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
(204) These equations can be rewritten
(207) where . Let us search for a normal mode solution of the form (208)
(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,
(213) Thus, the normal frequencies are , , and . According to the firs...
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