Railways Technical Ability Vibration Analysis Question Bank Vibration Analysis

  • question_answer A mass m attached to a light spring oscillates with a period of 2 sec. If the mass is increased by 2 kg, the period increases by 1 sec. The value ofwis:

    A) 1kg                  

    B) 1.6 kg

    C) 2 kg                             

    D) 2.4 kg

    Correct Answer: B

    Solution :

    \[{{T}_{1}}=2\pi \sqrt{\frac{m}{k}}=2\] \[{{T}_{2}}=2\pi \sqrt{\frac{m+2}{k}}=3\] \[\frac{2}{3}=\sqrt{\frac{m}{m+2}}\] \[m\text{ }=\text{ }1.6\text{ }kg\]

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