# Frequency of oscillation

## Homework Statement

0.54 kg mass hang vertically from a spring with k= 75 Nm. If the mass is displaced 3 cm vertically and allowed to oscillate, what is the frequency of oscillation?

## Homework Equations

T= 2(pi) ((sqrt)(m/K))
F= 1/T

## The Attempt at a Solution

T= 2(pi) ((sqrt)(0.54/75))
= 0.5331
F= 1/0.5331
= 1.9 Hz
Now I know I didnt use the displacement, but where would I use it? This was a multiple choice question, and 1.9 Hz is an option.... I just dont know if its right

## Answers and Replies

RUber
Homework Helper
I don't see any reason the initial displacement would affect the frequency of oscillation. Do you?

Thats kinda what im asking...
if the displacement were greater or smaller of the mass, would it change the frequency of oscillation? And if it does, how?

Larger displacement mean larger force, larger acceleration and, finally, the same time. For this reason called 'harmonic'.

rude man
Homework Helper
Gold Member
Thats kinda what im asking...
if the displacement were greater or smaller of the mass, would it change the frequency of oscillation? And if it does, how?
No, unless Hooke's law were to no longer apply at large displacements, in which case you'd have a nonlinear problem on your hands and believe me you want nothing to do with that.