Problem 1: Assume that two variable forces F₁ and F₂ are being applied to the following masses m, 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, mi = 1, m2= 1, C₁ = 0, c2=0, c3 = 0 and xi (0)=0, x'i(0) = -1, x2(0)=0, x'2(0) = 1. (Note: Assume that the system vibrates free without any periodic driven load, F₁-F:-0) x₁(1) *₂(1) -F₂(0) k₂ m₁ F.(0) m₂

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter10: Virtual Work And Potential Energy
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Problem 10.60P: The weightless bars AB and CE, together with the 5-lb weight BE, form a parallelogram linkage. The...
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Problem 1: Assume that two variable forces F₁ and F2 are being applied to the following masses
m; 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, m:= 1, m2 = 1, C₁ = 0, c2=0, C3 = 0 and xi (0)=0, x'i(0) = -1,
x2(0)=0, x'2(0) = 1. (Note: Assume that the system vibrates free without any periodic driven load,
F₁-F₂-0)
x₁(1)
*₂(1)
F₂(0) ky
m₁
F₁(1)
C₂
m₂
Transcribed Image Text:Problem 1: Assume that two variable forces F₁ and F2 are being applied to the following masses m; 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, m:= 1, m2 = 1, C₁ = 0, c2=0, C3 = 0 and xi (0)=0, x'i(0) = -1, x2(0)=0, x'2(0) = 1. (Note: Assume that the system vibrates free without any periodic driven load, F₁-F₂-0) x₁(1) *₂(1) F₂(0) ky m₁ F₁(1) C₂ m₂
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