Question

Use MATLAB to solve this question. Then, paste the code please. Answers are giving in the picture. DO NOT SUBMIT HAND WRITING!!!. Only MATLAB CODING.

Considering the governing oquation of motion for the mass-spring system shown below M eigenvalues of the following matric: + Kr the frequenciesぬof the mass vibrations can be determined by solving for the 2k kk m2 Eigenvalues of A will be ai where 2xf Form, = 1kg, m3 = 0.5 kg and k = 2 Nm, show how to use MATLAB to find such that: Hint: Write a user-defined function, which takes m2 as input and returms y-fi +2-s as output. Then find the value of m Answer: m2 0.191 and m2-1.309 such that y -0 m2 m3

Answer 1

`Hey,

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function code()
clc
clear all
close all
disp('Value of m2 are')
fzero(@eigens,1)
fzero(@eigens,0.5)

function y=eigens(m2)
m1=1;
m3=0.5;
k=2;
A=[2*k/m1,-k,-k;-k,2*k/m2,-k;-k,-k,2*k/m3];
B=eig(A);
C=sqrt(B/(2*pi));
y=C(1)+C(2)-C(3);
end
end

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