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Theory of Machines Miscellaneous

  1. The natural frequency of a spring-mass system on earth is ωn . The natural frequency of this system on the moon (gmoon = gearth / 6) is
    1. ωn
    2. 0.408 ωn
    3. 0.204 ωn
    4. 0.167 ωn
Correct Option: A

Natural frequency, ωn = √
k
2m

I t depends only on mass but not on weight. Therefore it is independent of gravity of a system, so it will remain ωn .



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