Railways Technical Ability Vibration Analysis Question Bank Vibration Analysis

  • question_answer The deflection of a spring with 20 active turns under a load of 1000 N is 10 mm. The spring is made-into two pieces each of 10 active coils and placed in parallel under the same load. The deflection of this system is:

    A) 20 mm             

    B) 10 mm        

    C) 5 mm               

    D) 2.5 mm 

    Correct Answer: D

    Solution :

    \[{{k}_{1}}=\frac{1000}{10}=100\,\,\text{N/mm}\] \[\text{k}\propto \frac{1}{n}\] \[{{k}_{2}}=100\times 2=200\,\text{N/mm}\] \[{{k}_{e}}=2\times 200=400\,\text{N/mm}\] \[\delta =\frac{1000}{400}=2.5\,\,mm\]


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