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Unformatted text preview: OUACHITA BAPTIST UNIVERSITY Simple Harmonic Motion Week 11 Lab Colt Swayze 11/16/2009 This Experiment was completed while partnering with Ashton Stewart on November 9, 2009 in the 2pm lab session. Object : To set up two different apparatuses to determine the spring constant of two springs and to determine the oscillation period of a vibrating spring. Theory : Simple harmonic motion is motion occurring in a period that is unaffected positively or negatively by any outside force other than the apparatus and its behaviors with gravity. A period is the occurring events that go on in the time it takes for the system to return to the same place, x, that it was in initially and is usually used to record the time it takes for each to complete. These behaviors are observed in oscillations which are identical if truly in simple harmonic motion. This occurs because the when a force is added away from the point of equilibrium, an equal and opposite force is added to return to equilibrium which combines with gravity and drives the mass an equal distance from equilibrium in the opposite direction. This is the formation of oscillations in a period and since each is identical then the frequency, amplitude, and displacement go unchanged in every period. Our experiment uses a combination of Newtons Second Law, = F md2xdt2 , and Hookes Law, = F kx or that = mg kx . This lets us derive the equation md2xdt2 = kx which can be used to solve the spring constant k , or approximate the mass m , length of the oscillation x , or the time it takes to complete on period t . For our purposes, the equation was rearranged and used as T=2Lg for calculations in the oscillating pendulum and = T 2mk for the calculations of the two spring constants. In the equation T=2Lg the T represents the time it takes to complete one period, the L is the distance the spring stretched with the given mass added, and the g is 9.8m/s 2 for gravity on earth. In the equation = T 2mk T represents time it takes to complete on period, the m represents the sum of the mass oscillating and one third of the mass of the spring itself, and the k represents the spring constant. Apparatus...
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 Spring '09
 DR.GOOD
 Physics, Simple Harmonic Motion

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