Increasing the mass m of a mass-and-spring system causes what kind of change on the resonant frequency of the system?
A) There is no change in the frequency.
B) The frequency increases if the ratio k/m is greater than or equal to 1 and decreases if the ratio k/m is less than 1.
C) The frequency increases if the ratio k/m is less than or equal to 1 and decreases if the ratio k/m is greater than 1.
D) The frequency decreases.
E) The frequency increases.

Question

Quizplus · Accepted Answer

The resonant frequency of a mass-and-spring system is given by $f = \frac{1}{2\pi}\sqrt{\frac{k}{m}}$, where $k$ is the spring constant and $m$ is the mass. Increasing the mass $m$ decreases the value under the square root, thus decreasing the frequency.

Increasing the Mass M of a Mass-And-Spring System Causes What