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Physics 4AL 7

Physics 4AL 7 - Physics 4AL Lab for Science and Engineering...

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Physics 4AL Lab for Science and Engineering Mechanics Experiment: Lab Section: Name: UID: Date: TA: Partner: Lab Station:

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Introduction/Purpose: The objective of this lab is to observe the properties of vibrating strings, and is conducted in three parts. The first part of the lab allowed us to calculate velocity in two ways, experimentally and theoretically. The second part of the lab used this data to determine the fundamental frequency and overtones of the system. Lastly, the third part was designed to see how holding the string at the midpoint would affect the system. Theory/Equations/Procedure: The theory behind this lab not very complicated. The string is first weighed, and then the length is measured. The string is then placed into the jig, in which it is held down at one end by a clip, runs over a pulley at the other end, and has photogate laser towards the pulley end to measure movement. On the opposite side of the pulley hangs a mass, and right next to the clip is a motor that drives the oscillations. For the first part, we need to calculate the velocity of the string. For this, we have the motor produce a saw tooth oscillation in the string, and use the formula V = (2*Length)/(Change in time) to determine the velocity experimentally. We then calculate the velocity theoretically by using the formula V = SQRT(Force of tension/mass per unit length) = SQRT(Ft/mu). It is important to note that the mass hanging from the pulley (as well as the string between the mass and the pulley) serves to create the tension force used in the above equation. Once the velocity is calculated, we can use it to calculate the fundamental frequency of the system by using the equation F1 = Velocity/Twice the length, so… F1 = V/2L. Knowing the fundamental frequency, we can then calculate the next overtones by using the equation Fn = n*F1. We then use the motor to produce these frequencies, and see how
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Physics 4AL 7 - Physics 4AL Lab for Science and Engineering...

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