A vertical spring is hanging from the ceiling with a mass attached to it.The mass is set to oscillate with SHM by pulling on it.Which of the following would increase the frequency of oscillation?
A)add a second identical spring with one end attached to the mass and the other to the ceiling
B)add a second identical spring with one end attached to the mass and the other to the floor
C)increase the mass
D)Both A and B are correct.

Question

Quizplus · Accepted Answer

Adding a second identical spring in either configuration effectively increases the spring constant of the system, which increases the frequency of oscillation. Adding a spring in parallel (option A) or in series (option B) both result in a system that has a higher effective spring constant than the original single spring setup. Increasing the mass (option C) would actually decrease the frequency of oscillation, according to the formula for the frequency of a mass-spring system, $f = \frac{1}{2\pi}\sqrt{\frac{k}{m}}$, where $f$ is the frequency, $k$ is the spring constant, and $m$ is the mass.

A Vertical Spring Is Hanging from the Ceiling with a Mass