Railways Technical Ability Vibration Analysis Question Bank Vibration Analysis

  • 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 double

    B) Increase by \[\sqrt{2}\] times

    C) Decrease by \[\sqrt{2}\] times

    D) Be half

    Correct Answer: B

    Solution :

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

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