The natural frequency and the damping ratio of a vibrometer are (6 mathrm{~Hz}) and (0.22 mathrm{~Hz}), respectively.

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The natural frequency and the damping ratio of a vibrometer are \(6 \mathrm{~Hz}\) and \(0.22 \mathrm{~Hz}\), respectively. What is the range of frequencies for the measurement error to be below \(3 \%\) ?

Corroborate the validity of your design using MATLAB ODE23 or ODE45 for a signal frequency. Show the signal that your instrument will produce after it has been attached to the vibrating structure.

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