A (250 mathrm{~kg}) compressor is to be placed at the end of a (2.5-mathrm{m}) fixed-free steel (left(E=200 times 10^{9} mathrm{~N} / mathrm{m}^{2} ight)) beam. Specify

A \(250 \mathrm{~kg}\) compressor is to be placed at the end of a \(2.5-\mathrm{m}\) fixed-free steel \(\left(E=200 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}\right)\) beam. Specify the allowable moment of inertia of the beam's cross section about its neutral axis such that the natural frequency of the machine is outside the range of 100 to \(130 \mathrm{~Hz}\).