Question

The natural frequency of a spring-mass system on earth is ω_n. The natural frequency of this system on the moon (g_moon = g_earth/6) is

1. ω_n
2. 0.408 ω_n
3. 0.204 ω_n
4. 1.167 ω_n

Answer 1

Correct Answer - Option 1 : ω_n

Explanation:

The natural frequency of a spring-mass system is given by:

\({\omega _n} = \sqrt {\frac{k}{m}} \)

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