In a simple mechanical spring-mass system, how are stiffness ($k$) and mass ($m$) related to the natural frequency ($f_n$)?

Answer

$f_n \propto \sqrt{k/m}$

The natural frequency is directly related to the square root of the ratio of stiffness to mass, meaning higher stiffness or lower mass leads to a higher frequency.

In a simple mechanical spring-mass system, how are stiffness ($k$) and mass ($m$) related to the natural frequency ($f_n$)?
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