(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm working on a problem that involves solving for the eigenvalues and the natural frequencies. I've attached my work as a pdf file and also the MATLAB code used to get the result. The problem that I'm running into is that the frequencies computed from the determinant are not even close to the frequencies for the exact solution. For the frequencies, I'm only comparing the [itex]\sqrt{820\lambda}[/itex] and the (n[itex]\pi[/itex])^{2}term. I have no idea where I am going wrong.

2. Relevant equations

shown on pdf document

3. The attempt at a solution

shown on pdf and MATLAB file included

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# Wrong values for eigenvalues and frequencies

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