# Frequency of oscillation

1. Jun 12, 2015

### subopolois

1. The problem statement, all variables and given/known data
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?

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

3. 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

2. Jun 12, 2015

### RUber

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

3. Jun 12, 2015

### subopolois

if the displacement were greater or smaller of the mass, would it change the frequency of oscillation? And if it does, how?

4. Jun 13, 2015

### theodoros.mihos

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

5. Jun 14, 2015

### rude man

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.