2. The equations of motion of this system are; 12Y+7Y+24Y-62-122-0 62"+62+122-6Y-12Y=f(t) 7W+7W+14W-7Y-14Y=ft) Where Y,Z and W are deformations of the masses and springs. Put these equations into state variable form and express the model as matrix vector equation if output of the system is Y. Energy Storage Element m₂ m₂ M3 k₁ k₂ State Variable X₁ = Y' X₂ = Z' X3 = W' X₁ = Y X5 = Z X = W mi Suspension d Wheo Road Datum les

2. The equations of motion of this system are; 12Y+7Y+24Y-62-122-0 62"+62+122-6Y-12Y=f(t) 7W+7W+14W-7Y-14Y=ft) Where Y,Z and W are deformations of the masses and springs. Put these equations into state variable form and express the model as matrix vector equation if output of the system is Y. Energy Storage Element m₂ m₂ M3 k₁ k₂ State Variable X₁ = Y' X₂ = Z' X3 = W' X₁ = Y X5 = Z X = W mi Suspension d Wheo Road Datum les

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

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

2. The equations of motion of this system are;
12Y+7Y+24Y-6Z"-122-0
6Z" +6Z"+12Z-6Y-12Y=f(t)
7W+7W+14W-7Y'-14Y=ft)
Where Y,Z and W are deformations of the masses and springs.
Put these equations into state variable form and express the model as matrix vector
equation if output of the system is Y.
Energy Storage Element
m1
m₂
M3
k₁
k₂
k₂
State Variable
X₁ = Y'
X₂ = Z'
X3 = W'
X₁ = Y
X5 = Z
X6 = W
Sea
Suspension
Wheel
Road
Datum leve

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