Consider the mechanical system shown in Figure 1: where qi (i = 1,2) are the displacement...

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Consider the mechanical system shown in Figure 1: where qi (i = 1,2) are the displacement of masses, m; are the masses, and ki are the values of the stiffness of spring. m₁a1 + (ki + k₂)91 - K292 = 0 m292 k2q1 +k292 = 0 91 1. Represent the dynamics as i Ar where the state-variable is z = 92 91 [92 2. What are the eigen-values of A when m₁ = m₂ = 1, 9₁ 92 = 1. (you can certainly use Matlab command eig) 3. Using command expm(A) one can find e^. Can you comment on what will be qı (2), and 42 (2) when initial condition is r(0) = k₂ mor m 19 voo m₂ (1) 19 Figure 1: Mechanical System for Problem 1 Consider the mechanical system shown in Figure 1: where qi (i = 1,2) are the displacement of masses, m; are the masses, and ki are the values of the stiffness of spring. m₁a1 + (ki + k₂)91 - K292 = 0 m292 k2q1 +k292 = 0 91 1. Represent the dynamics as i Ar where the state-variable is z = 92 91 [92 2. What are the eigen-values of A when m₁ = m₂ = 1, 9₁ 92 = 1. (you can certainly use Matlab command eig) 3. Using command expm(A) one can find e^. Can you comment on what will be qı (2), and 42 (2) when initial condition is r(0) = k₂ mor m 19 voo m₂ (1) 19 Figure 1: Mechanical System for Problem 1

Answer rating: 100% (QA)

Sure lets address the question step by step 1 Represent the dynamics as dotx Ax where the statevariable is x beginbmatrix q1 q2 dotq1 dotq2 endbmatrix ... View the full answer