Consider a mass-and-spring system containing two masses m 1 = 1 and m 2 = 1 whose

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Consider a mass-and-spring system containing two masses m1 = 1 and m2 = 1 whose displacement functions x(t) and y(t) satisfy the differential equations

(a) Describe the two fundamental modes of free oscillation of the system.

(b) Assume that the two masses start in motion with the initial conditions

and are acted on by the same force, F1(t) = F2(t) = -195 cos 7t. Describe the resulting motion as a superposition of oscillations at three different frequencies.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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