Problem 1: Assume that two variable forces F₁ and F2 are being applied to the following masses n₁ and m2, respectively. Derive the system of differential equations describing the straight-line morizontal 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, 2(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) C₂ m₁ F₁(1) k₂ C₂ m₂ F₂(1) k₂ C3

Problem 1: Assume that two variable forces F₁ and F2 are being applied to the following masses n₁ and m2, respectively. Derive the system of differential equations describing the straight-line morizontal 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, 2(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) C₂ m₁ F₁(1) k₂ C₂ m₂ F₂(1) k₂ C3

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Q#1 (Solve correctly and detailed)

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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