Railways Technical Ability Vibration Analysis Question Bank Vibration Analysis

  • question_answer The natural frequency of an undamped vibrating system is 100 rad/s. A damper with a damping factor of 0.8 is introduced into the system. The frequency of vibration of the damped system, in rad/s, is:

    A) 60                                

    B) 75

    C) 80                                

    D) 100

    Correct Answer: A

    Solution :

    \[{{\omega }_{d}}={{\omega }_{n}}\sqrt{1-{{\zeta }^{2}}}=100\sqrt{1-{{(0.8)}^{2}}}\]\[=\text{ }60\text{ }rad/s\]

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