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 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 F₁ (t)= F₂(t)= 1080 cos (7t). Describe the resulting motion as a superposition of oscillations at three different frequencies. X'= -7x+6y y' =9x-22y (a) The lower frequency mode has ₁ : amplitude of the oscillation of m₂ is The masses oscillate in times the amplitude of the oscillation of m₁. and the

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 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 F₁ (t)= F₂(t)= 1080 cos (7t). Describe the resulting motion as a superposition of oscillations at three different frequencies. X'= -7x+6y y' =9x-22y (a) The lower frequency mode has ₁ : amplitude of the oscillation of m₂ is The masses oscillate in times the amplitude of the oscillation of m₁. and the

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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