Railways Technical Ability Vibration Analysis Question Bank Vibration Analysis

  • question_answer A simple spring mass vibrating system has a natural frequency of N. If the spring, stiffness is halved and the mass is doubled, then the natural frequency will become:

    A) N/2                              

    B) 2N

    C) 4N                               

    D) 8N

    Correct Answer: A

    Solution :

    \[\,\,{{\omega }_{n1}}=\sqrt{\frac{k}{m}},\] \[\omega \,{{n}_{2}}=\sqrt{\frac{k}{2}\times \frac{1}{2m}}=\frac{1}{2}\sqrt{\frac{k}{m}}=\frac{1}{2}{{\omega }_{n1}}=\frac{N}{2}\]

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