For the mechanical system shown in Fig-1, u₁, u₂ are the inputs and y₁, y2 are theoutputsYI YY2Yk₁miUIU2+m2Fig-1a) Write the differential equations that model this systemb) Find a state space representation of the system.

Answered: Image /qna-images/answer/ee8172c1-8828-402f-8df2-e19a88bc64d6.jpg

For the mechanical system shown in Fig-1, u₁, u₂ are the inputs and y₁, y2 are the outputs YI Y Y2 mi "I 5 42 m2 k2 Fig-1 a) Write the differential equations that model this system b) Find a state space representation of the system.

For the mechanical system shown in Fig-1, u₁, u₂ are the inputs and y₁, y2 are the outputs YI Y Y2 mi "I 5 42 m2 k2 Fig-1 a) Write the differential equations that model this system b) Find a state space representation of the system.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

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.

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Step 1: Given:

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Step 2: To make differential equations for the given system

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Step 3: To make state-space representation for the given problem

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Step 4: The state-space form in matrix form

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