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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
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Problem 1: Assume that two variable forces F₁ and F2 are being applied to the following masses m₁ and m2, respectively. Derive the system of differential equations describing the straight-line horizontal motion of the coupled springs shown in equilibrium shown in the figure. Solve the system when k₁ = 1, k2 = 1, k3 = 1, m₁ = 1, m2 = 1, C₁ = 0, C2 = 0, C3 = 0 and x₁ (0) = 0, x'ı (0) = -1, X2(0)=0, x'2(O) = 1. (Note: Assume that the system vibrates free without any periodic driven load, F₁-F₂=0) x₁ (1) x₂ (1) C₁ m₁ F₁(t) k₂ www C₂ m₂ > F₂(1) k₂ www C₁
Transcribed Image Text:Problem 1: Assume that two variable forces F₁ and F2 are being applied to the following masses m₁ and m2, respectively. Derive the system of differential equations describing the straight-line horizontal motion of the coupled springs shown in equilibrium shown in the figure. Solve the system when k₁ = 1, k2 = 1, k3 = 1, m₁ = 1, m2 = 1, C₁ = 0, C2 = 0, C3 = 0 and x₁ (0) = 0, x'ı (0) = -1, X2(0)=0, x'2(O) = 1. (Note: Assume that the system vibrates free without any periodic driven load, F₁-F₂=0) x₁ (1) x₂ (1) C₁ m₁ F₁(t) k₂ www C₂ m₂ > F₂(1) k₂ www C₁
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