# Spring-Mass problem

1. Jan 20, 2008

### end3r7

1. The problem statement, all variables and given/known data
A weight (unknown mass) is placed on a vertical spring (unknown spring constant) compressing it by 2.5 cm (one inch). What is the natural frequency of oscillation of this spring-mass system?

2. Relevant equations
(i) $$T = 2*pi*\sqrt{\frac{m}{k}}$$

3. The attempt at a solution
I argue that the spring's displacement should be $$\frac{mg}{k} = 0.025$$
So $$\frac{m}{k} = \frac{0.025}{g}$$
Plugged that in and got the natural frequency is 3.15 s^-1.

I just want to check if the equations are valid and if the displacement is in the right unites (meters, right?)

2. Jan 20, 2008

### Staff: Mentor

Looks good. (What value did you use for g?)

3. Jan 20, 2008

### end3r7

Oh, good call. I used 9.81, so it's in meters.