Railways Technical Ability Vibration Analysis Question Bank Vibration Analysis

  • question_answer Two rotors A and B are connected to the two ends of a shaft of uniform diameter. The mass moment of inertia of rotor A about the axis of the shaft is four times that of B. If the length of the shaft is 1 m and C is the position of node for torsional vibrations, then what is the length of AC?

    A) 1/5 m               

    B) 4/5 m

    C) 1/25 m             

    D) 16/25 m

    Correct Answer: A

    Solution :

    \[AC=\left( \frac{{{I}_{B}}}{{{I}_{A}}+{{I}_{B}}} \right)\,l=\left( \frac{{{I}_{B}}}{4{{I}_{B}}+{{I}_{B}}} \right)\,l\]\[=\frac{l}{5}=\frac{1}{5}\,m\]

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