## Determining the oscillating mass (u) of a helical spring

Students learn how to determine the oscillating mass of a helical spring.
They will also understand the relationship between mass and the period of the
mass-spring system

### Instructions

- Set and record
*m*, the mass of the mass
- Pull the mass a few millimiters below it's equilibrium position and release
it so that it oscillates in a vertical plane
- Time 10 complete oscillations twice and calculate the period (
*T*) of the mass-spring system
- Vary the mass of the mass in steps and repeat instructions (1) to (3)
- Plot a graph of (
*T^2*) on the y-axis against m on the x-axis and determine the slope (*S*)

The period of the mass-spring system is related to the load on it by the equation
* T^2 = ((4 * pi^2) / K)m + (4 * pi^2 * u) / K* where *K* is a constant. *T* is in
seconds and *m* is in kilograms
- Read the intercept (
*C*) off the *T^2* and calculate * u = C/S*
- What's the physical significance of u?

**Press "restart". Then you can pull and release the spring by dragging on the screen **