A (2 mathrm{~kg}) gear with a radius of (20 mathrm{~cm}) is mounted to the end of a
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A \(2 \mathrm{~kg}\) gear with a radius of \(20 \mathrm{~cm}\) is mounted to the end of a \(1-\mathrm{m}\) long steel \(\left(G=80 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}\right)\) shaft. A moment \(M=100 \sin 150 t\) is applied to the gear. For What shaft radii is the value of the forced amplitude of torsional oscillations less than \(4^{\circ}\) ?
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