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Find the natural frequencies and modal vectors of the system shown in the next figure with m₁ = m, m2 = 2m, k₁ = k, and k₂ = 2k where m = 20 kg and k = 1000 N/m. Note that the equation of motions of the system can be written as m₁x₁ + (k₁ + k₂)x₁ - k2x2 = 0 - m2x2 + k2x2 − k₂x₁ = 0 k₁ Base k2 m1 x₁(t) 00000 m2 x2(1)

Find the natural frequencies and modal vectors of the system shown in the next figure with m₁ = m, m2 = 2m, k₁ = k, and k₂ = 2k where m = 20 kg and k = 1000 N/m. Note that the equation of motions of the system can be written as m₁x₁ + (k₁ + k₂)x₁ - k2x2 = 0 - m2x2 + k2x2 − k₂x₁ = 0 k₁ Base k2 m1 x₁(t) 00000 m2 x2(1)

Elements Of Electromagnetics
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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Find the natural frequencies and modal vectors of the system shown in the next figure with m₁ = m, m2 = 2m, k₁ = k, and k₂ = 2k where m = 20 kg and k = 1000 N/m. Note that the equation of motions of the system can be written as m₁x₁ + (k₁ + k₂)x₁ - k2x2 = 0 - m2x2 + k2x2 − k₂x₁ = 0 k₁ Base k2 m1 x₁(t) 00000 m2 x2(1)
Transcribed Image Text:Find the natural frequencies and modal vectors of the system shown in the next figure with m₁ = m, m2 = 2m, k₁ = k, and k₂ = 2k where m = 20 kg and k = 1000 N/m. Note that the equation of motions of the system can be written as m₁x₁ + (k₁ + k₂)x₁ - k2x2 = 0 - m2x2 + k2x2 − k₂x₁ = 0 k₁ Base k2 m1 x₁(t) 00000 m2 x2(1)
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