Purpose:Quantitatively demonstrate how the spring constant affects the period of a mass on a spring.
Description:Determine the spring constant from the relationship F=kx using various numbers of 200 gram weights hanging from the spring. Hang groups of 200 gram weights from the spring and create vertical oscillations, obtaining the period using the manual timer. Compare with the period calculated from the relation T = 2 pi SQRT (m/k), where k was obtained above.
This can be compared with actual integration of the equations of motion using a computer if desired.