Dover+Lab+18+-+Spring+with+Mass

=Procedure=
 * Attached a spring with a spring constant of 5 N/m onto a utility clamp on the end of a ring stand
 * Hung mass set with mass of 50 grams on the other end of the spring
 * Set the first iron ring at the equilibrium height
 * Set the second iron ring at an amplitude of .05 m
 * Pulled mass on spring down to the amplitude, released, and started timing
 * Stopped timing after 6 cycles
 * Increased mass, adjusted ring heights and repeated increasing the mass three times with three trials each time
 * Increased amplitude while keeping mass constant, increasing five times with three trials each time

=Data=

=Graphs=



The data and graphs indicate a correlation between the mass and the period of a spring with mass system, but not between the amplitude and period. One can conclude this because the mass vs. period graph has a slope, indicating that the period is dependent of the mass, and in the other graph the slope is almost zero, indicating that period is independent of amplitude.

=Mathematical Model=

T = 2pi(m/k)^(1/2)

The mathematical model supports what is represented by the graph, that amplitude is independent of period and that period is dependent on mass.