Solve for the state-space representation of the following translational mechanical system. M₁ X1 What is the value of B? K oooo Frictionless M₂ 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 * = Ax+ Bf(t), where x = [X1V₁x2v₂]T. 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 = What are the elements of A and B? A: -f(t) X₁ and v₂ = x2.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.21MCQ
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Solve for the state-space representation of the following translational mechanical system.
D
M₁
X1
What is the value of B?
K
10000
Frictionless
M₂
x2
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 * = Ax+Bf(t), where x = [X₁ V₁x2 V₂]T. 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 =
What are the elements of A and B?
A:
- f(t)
₁ and v₂ = 2.
Transcribed Image Text:Solve for the state-space representation of the following translational mechanical system. D M₁ X1 What is the value of B? K 10000 Frictionless M₂ x2 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 * = Ax+Bf(t), where x = [X₁ V₁x2 V₂]T. 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 = What are the elements of A and B? A: - f(t) ₁ and v₂ = 2.
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