Question

What is the relationship between mass and frequency?

Answer 1

1. Masses in vibrational systems undergoing simple harmonic motion will have a certain time period for their oscillation.
2. The frequency is the inverse of the time period and is equal to the number of oscillations completed per unit time.
3. For a mass spring system, the frequency of its motion can be expressed as $f=\frac{1}{2\mathrm{\pi }}\sqrt{\frac{k}{m}}$. Here, $f$ is the frequency, $k$ is the spring constant and $m$ is the mass.

Hence, the greater is the mass, lesser is the frequency and vice versa.