oscillatory motion

# oscillatory motion - Laboratory Report PHYS 122L...

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Laboratory Report PHYS 122L Oscillatory Motion Purpose of the Experiment: To study oscillations in a mass/spring system. First, the stiffness constant of a Hooke’s law spring will be measured. Secondly, the vibration frequency of a mass/spring system will be measured and its dependence on m will be examined. Finally, a system in which coupled oscillations exists will be examined. Experimental Procedure Determining the Stiffness Constant of the Spring, k: Force and position sensors are used to measure the stiffness constants, k, of two springs, one short and one long, that obey Hooke’s law. The sensors record data through the LabPro interface that is connected to the computer, displaying force, position, and velocity versus time. A weight holder is attached to a spring and hung from the force sensor. The force sensor and position sensor are zeroed to create a baseline for the measurements. Since these measurements involve static equilibrium and there should be no motion of the mass and spring, we will take the averages of force and position over several seconds. As different amount of weight are added to the system, force and position measurements are made recorded until we have six separate data points. These measurements are then repeated for the other spring. The plot of F vs. x will then give a straight line with slope equal to k. Measurements of Simple Harmonic Motion: The Sonic Motion Detector will be used to measure x(t) for five separate masses when they are individually attached to the long spring and set into oscillatory motion by a small initial pull. The mass is placed onto the holder and then allowed to come to rest. Both sensors are then zeroed and the mass is pulled straight downward about 3 cm and then released. After a few seconds the data collection is started, producing a sinusoidal curve. The period of oscillation, T, can then be measured by finding the time interval between neighboring maxima. The plot is printed out and this process is repeated until we have data for each of the five masses. Measurements of Coupled Oscillatory Motion: To investigate the fact that there was no mechanism to prevent the spring from swinging side to side in the previous setup, we will observe a coupling using the spring/mass system. The collection time for data is

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oscillatory motion - Laboratory Report PHYS 122L...

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