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 ki = 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) →x₂ (1) F₂(0) ky F₁(t) k₁ k₂ www ww C₁ C₂ m₁ m₂ C₂

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 ki = 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) →x₂ (1) F₂(0) ky F₁(t) k₁ k₂ www ww C₁ C₂ m₁ m₂ C₂

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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Q#1 Solve correctly and detailed as much as possible. Thank you

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 kı = 1, k2= 1, k3= 1, m₁ = 1, m2 = 1, C1 = 0, c2 = 0, C3 = 0 and xi (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)
→x (1)
x₂ (1)
C₁
71₁
F₁(1)
k₂
www
49₂
M₂
F₂(1)
ky
wwww
Cy

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