In Problems 12 and 13, find the natural frequencies of the three-mass system of Fig. 7.5.1, using
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In Problems 12 and 13, find the natural frequencies of the three-mass system of Fig. 7.5.1, using the given masses and spring constants. For each natural frequency ω, give the ratio a1:a2:a3 of amplitudes for a corresponding natural mode x1 = a1 cos ωt , x2 = a2 cos ωt , x3 = a3 cos ωt.
m1 = m2 = m3 = 1; k1 = k2 = k3 = k4 = 2
Transcribed Image Text:
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The coefficient matrix A 2 0 2 4 2 0 2 4 has characteristic polynomial A1224032 ...View the full answer
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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