Railways Technical Ability Vibration Analysis Question Bank Vibration Analysis

  • question_answer A mass of 1 kg is attached to the end of a spring with a stiffness 0.7 N/mm. The critical damping coefficient of the system is:

    A) 1.40 Ns/m                     

    B) 52.22 Ns/m

    C) 52.92 Ns/m                   

    D) 529.20 Ns/m

    Correct Answer: C

    Solution :

    \[{{\omega }_{n}}=\sqrt{\frac{k}{m}}=\sqrt{\frac{0.7\times {{10}^{3}}}{1}}=26.46\,\,\text{rad/s}\] \[{{c}_{c}}=2m\] \[{{\omega }_{n}}=2\times 1\times 26.46=52.92\,\,\text{Ns/m}\]

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