• # question_answer A rotating shaft carries a flywheel which overhangs on the bearing as a cantilever. If this flywheel weight is reduced to half of its original weight, the whirling speed will: A) Be doubleB) Increase by $\sqrt{2}$ timesC) Decrease by $\sqrt{2}$ timesD) Be half

$k=\frac{3EI}{{{L}^{3}}}$ ${{\omega }_{n}}=\sqrt{\frac{k}{m}}=\sqrt{\frac{3EI}{m{{L}^{3}}}}=\sqrt{\frac{3EIg}{W{{L}^{3}}}}\propto \sqrt{\frac{1}{W}}$ $\frac{{{\omega }_{n2}}}{{{\omega }_{n1}}}=\sqrt{\frac{{{W}_{1}}}{{{W}_{2}}}}=\sqrt{2}$