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The natural frequency of a spring-mass system on earth is ωn. The naturalfrequency of...

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go4knowledge2 | Student, Grade 11 | eNoter

Posted September 12, 2012 at 9:20 AM via web

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The natural frequency of a spring-mass system on earth is ωn. The natural
frequency of this system on the moon (gmoon = gearth / 6) will be:

(A) ωn

(B)0.408ωn

(C) 0.204ωn

(D) 0.167ωn

Please solve this question...

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quantatanu | Student, Undergraduate | Valedictorian

Posted September 26, 2012 at 3:49 PM (Answer #1)

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Natural frequency of a spring mass system does npt depend on "g" so it will be same in both earth and moon, because

 

natural frequency of spring mass system = Sqrt [k/m]

as both elastic constant "k" and mass "m" doesn't depend on gravity (Newton's Gravity) so it does not matter where the spring mass system is, the frequency will be same.

 

The answer is (A) wn

 

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