If the beam of Chapter Problem 12.38 is fixed-fixed, which of the following excitation frequencies should be avoided and why?

(a) \(180 \mathrm{rad} / \mathrm{s}\)

(b) \(1530 \mathrm{rad} / \mathrm{s}\)

(c) \(2200 \mathrm{rad} / \mathrm{s}\)

(d) \(7940 \mathrm{rad} / \mathrm{s}\)

Data From Chapter Problem 12.38:

A fixed-free rectangular steel beam ( \(\left.ho=7850 \mathrm{~kg} / \mathrm{m}^{3}, E=210 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}\right)\) with a length of \(1 \mathrm{~m}\), base of \(2 \mathrm{~cm}\), and height of \(5 \mathrm{~cm}\) is subject to a single frequency harmonic excitation.