Derive the set of differential equations for a three mass-four sprang system as shown in Figure below that describes their time motion. Write the three differential equations in matrix form as figure attachment. {Acceleration vector} + [k/m matrix]{displacement vector x} = 0llllm2llm3llNote each equation has been divided by the mass. Solve for the eigenvalues and naturalfrequencies using Faddeev-Levenrier Method and Power method for the followingvalues of mass and spring constants k1 =k4 = 15 N/m, k2 =k3 = 35 N/m, and mı = m2= m3 = 1.5kg. Assume initial value for power method. Compare the relative errorbetween these two methods.

A Spring system is a system in which the mass in the system is concentrated on the spring. The…

Answered: Derive the set of differential…

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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Derive the set of differential equations for a three mass-four sprang system as shown in Figure below that describes their time motion. Write the three differential equations in matrix form as figure attachment.

{Acceleration vector} + [k/m matrix]
{displacement vector x} = 0
ll
ll
m2
ll
m3
ll
Note each equation has been divided by the mass. Solve for the eigenvalues and natural
frequencies using Faddeev-Levenrier Method and Power method for the following
values of mass and spring constants k1 =k4 = 15 N/m, k2 =k3 = 35 N/m, and mı = m2
= m3 = 1.5kg. Assume initial value for power method. Compare the relative error
between these two methods.

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