The natural frequency of a spring-mass system on earth is ωn. The naturalfrequency of this system on the moon (gmoon = gearth / 6) will be:(A) ωn (B)0.408ωn (C) 0.204ωn (D) 0.167ωn Please...

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...

quantatanu | Student

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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