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Solve for the state-space representation of the following translational mechanical system. D M₁ -X1 K oooo Frictionless M₂ .x2 -f(t) M1 = 10 kg, M2 = 5 kg, K = 20 N/m, D = 5 N-s/m or 5 N/(m/s) Solve for matrices A and B in the state space representation X = Ax + B f(t), where X = [X₁ U₁X₂ U₂]. Follow these steps: 1. Write the equations governing the motion of each mass. 2. Re-arrange the equations and convert to matrix form. Note that U₁ X₁ and U₂ = x₂.

Solve for the state-space representation of the following translational mechanical system. D M₁ -X1 K oooo Frictionless M₂ .x2 -f(t) M1 = 10 kg, M2 = 5 kg, K = 20 N/m, D = 5 N-s/m or 5 N/(m/s) Solve for matrices A and B in the state space representation X = Ax + B f(t), where X = [X₁ U₁X₂ U₂]. Follow these steps: 1. Write the equations governing the motion of each mass. 2. Re-arrange the equations and convert to matrix form. Note that U₁ X₁ and U₂ = x₂.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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a. What are the elements of the 4x4 matrix A?

b. What are the elements of the 4x1 vector B?

Solve for the state-space representation of the following translational mechanical system. .x1 K kaa M₁ 0000 M₂ D Frictionless .x2 - f(t) M1 = 10 kg, M2 = 5 kg, K = 20 N/m, D = 5 N-s/m or 5 N/(m/s) Solve for matrices A and B in the state space representation x = Ax + Bf(t), where X = [X₁ U₁X2 U₂]. Follow these steps: 1. Write the equations governing the motion of each mass. 2. Re-arrange the equations and convert to matrix form. Note that V₁ = x₁ and U₂ = x₂.
Transcribed Image Text:Solve for the state-space representation of the following translational mechanical system. .x1 K kaa M₁ 0000 M₂ D Frictionless .x2 - f(t) M1 = 10 kg, M2 = 5 kg, K = 20 N/m, D = 5 N-s/m or 5 N/(m/s) Solve for matrices A and B in the state space representation x = Ax + Bf(t), where X = [X₁ U₁X2 U₂]. Follow these steps: 1. Write the equations governing the motion of each mass. 2. Re-arrange the equations and convert to matrix form. Note that V₁ = x₁ and U₂ = x₂.
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