Question

Does the natural frequency change with the mass?

Answer 1

Yes, the natural frequency changes with mass.

1. The natural frequency of the system is inversely proportional to the mass.
2. The formula of natural frequency is given by, $f=\frac{1}{2\pi }\sqrt{\frac{K}{m}}$ (where $f$ is frequency, $K$ is restoring force, and $m$ is mass.)
3. If the value of mass $m$ increases the frequency $f$ decreases if the value of mass $m$ decreases the frequency $f$ increases.
4. Hence we can say that the natural frequency varies if the mass varies.

Therefore, the natural frequency changes with the mass.