Consider the mechanical system in Figure 5 in which y₁ (t) and y2(t) denote the displacement of the associated mass from its static equilibrium position, and f(t) represents a force applied to the first mass m₁. The parameters are masses m₁ and m2, viscous damping coefficient c, and spring stiffnesses k₁ and k₂. The input is the applied force u(t) = f(t), and the outputs are taken as the mass displacements. Derive state space representation. [ M₁ 9:40 M A₂ Fwww Figure 5 3200

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Consider the mechanical system in Figure 5 in which y₁ (t) and y2(t) denote the displacement of the associated
mass from its static equilibrium position, and f(t) represents a force applied to the first mass m₁. The parameters
are masses m₁ and m2, viscous damping coefficient c, and spring stiffnesses k₁ and k₂. The input is the applied force
u(t) = f(t), and the outputs are taken as the mass displacements. Derive state space representation.
J[
M₁
y0
M
A₂
Fwww
Figure 5
3200
我
Transcribed Image Text:Consider the mechanical system in Figure 5 in which y₁ (t) and y2(t) denote the displacement of the associated mass from its static equilibrium position, and f(t) represents a force applied to the first mass m₁. The parameters are masses m₁ and m2, viscous damping coefficient c, and spring stiffnesses k₁ and k₂. The input is the applied force u(t) = f(t), and the outputs are taken as the mass displacements. Derive state space representation. J[ M₁ y0 M A₂ Fwww Figure 5 3200 我
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