# Period of Oscillation for vertical spring

1. Nov 12, 2013

### conniebear14

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

A mass m=.25 kg is suspended from an ideal Hooke's law spring which has a spring constant k=10 N/m. If the mass moves up and down in the earth's gravitational field near earth's surface find period of oscillation.

2. Relevant equations

T=1/f period equals one over frequency
T= 2pi/w two pi/angular velocity
f=w/2pi
w= (k/m)^1/2
T=2pi/sqrt(k/m)

3. The attempt at a solution

Using these equations I found periods for springs that were horizontally gliding, my question is can I use these same formulas for a vertical spring? Does gravity have to be taken into account?

2. Nov 12, 2013

### haruspex

Yes. Since it partly offsets the tension in the spring, it could affect the period. But I'm not asserting that it does. Think about where the mid point of the oscillation will be in terms of spring extension.

3. Nov 12, 2013

### conniebear14

Okay, for this problem lets not take gravity into account. Are my equations correct? Can I use the same approach that I used for a horizontal spring?

4. Nov 12, 2013

### haruspex

I don't understand. I thought I just advised you to take gravity into account. Just write down the equation for ƩF=ma.