Consider a mass-and-spring system containing two masses m, = 1 and m2 = 1 whose displacement functions x(t) and y(t) satisfy the differential equations below. (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 x(0)= 21, x'(0) = 4, and y(0) = 33, y'(0) = 2 and are acted on by the same force F, (t) = F2 (t) = – 1080 cos (7t). Describe the resulting motion as a superposition of oscillations at three different frequencies. %3D %3D x'' = - 7x+ 6y y'' = 9x - 22y ... (a) The lower frequency mode has @1 The masses oscillate in and the amplitude of the oscillation of m, is times the amplitude of the oscillation of m,.

Consider a mass-and-spring system containing two masses m, = 1 and m2 = 1 whose displacement functions x(t) and y(t) satisfy the differential equations below. (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 x(0)= 21, x'(0) = 4, and y(0) = 33, y'(0) = 2 and are acted on by the same force F, (t) = F2 (t) = – 1080 cos (7t). Describe the resulting motion as a superposition of oscillations at three different frequencies. %3D %3D x'' = - 7x+ 6y y'' = 9x - 22y ... (a) The lower frequency mode has @1 The masses oscillate in and the amplitude of the oscillation of m, is times the amplitude of the oscillation of m,.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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