Modeling in states spacea) Find the equations over time and define state variables b) State modeling matrices fv3 = 1 N-s/mfv4 = 1 N-s/mSv₁ =_1 N-s/m#M₁ = 2 kgM3 = 1 kgfv₂²X3(7)= 1 N-s/mX₁ (1)-0000K = 2 N/mFrictionlessfv5 = 1 N-s/mM₂ = 1 kgX₂(1)

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Mechanical Engineering

Modeling in states space a) Find the equations over time and define state variables b) State modeling matrices

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Question

Modeling in states space a) Find the equations over time and define state variables b) State modeling matrices

fv3 = 1 N-s/m
fv4 = 1 N-s/m
Sv₁ =_1 N-s/m
#
M₁ = 2 kg
M3 = 1 kg
fv₂²
X3(7)
= 1 N-s/m
X₁ (1)
-0000
K = 2 N/m
Frictionless
fv5 = 1 N-s/m
M₂ = 1 kg
X₂(1)

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Summarize five key steps involved in defining a system using state-space approach.
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Part a and b
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For the mechanical system shown in Fig-1, u₁, u₂ are the inputs and y₁, y2 are the outputs YI Y Y2Y k₁ mi UI U2 + m2 Fig-1 a) Write the differential equations that model this system b) Find a state space representation of the system.
PARTS A and B ( Label Them ) SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer for both