The end of a steel cantilever beam (left(E=210 times 10^{9} mathrm{~N} / mathrm{m}^{2} ight)) of (I=1.5 times

The end of a steel cantilever beam \(\left(E=210 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}\right)\) of \(I=1.5 \times 10^{-4} \mathrm{~m}^{4}\) is given an initial amplitude of \(4.5 \mathrm{~mm}\). After 20 cycles of motion the amplitude is observed as \(3.7 \mathrm{~mm}\). Determine the hysteretic damping coefficient and the equivalent viscous damping ratio for the beam.