Atwood Machine mm/dd/201L Experiment: Apparatus: Atwood's machine consisting of one pulley with string attached over pulley to two weight hangers; sets of gram-weights, meter stick and stopwatch. Procedure: Two experimental procedures will be conducted here. (A) Increasing total mass: Same amount of mass is added to each weight hanger. Experiment will be repeated five times, recording times of fall for each set of masses. (B) Increasing mass difference (keep total mass the same): Move masses from one side to the other and repeat measwement five times, recording times of fall for each set of masses. Data/Results: y = B0cm =0.BOm Equations: a. - [[mz-mrJ/ (mr+m2)]g a^= 2y/t2 o/o ertor = (lac-aml/a.J x 100 1. Increasing mass sum m1 m2 Ac t dm o/o € rfor 7Op 90s L.22m/s2 L.15 s L.ZLw/sz 0.820/o 90 s, 110 s 0.98m/s2 L.29 s 0.96m/sz 2.04o/o 110 e 130 e 0.81m/sz 1.39 s 0.83m/s2 2.47o/o 130 s L50 s 0.70m/sz 1.55 s 0.67m/s2 4.29o/o 150 s I70 s 0.61m/s2 1.80 s 0.49m/s2 L9.7o/o 2. Increasing mass difference m1 mz € lc T € Im %o error 150 s L70 s. 0.6Tm/s2 1.50 s 0.7Lmls2 16.4o/o 130 e L90 e L.B4m/s2 0.92 s L.89m/s2 2.77o/o 1I0 s 210 s 3.06m/s2 0.72 s 3.08m/s2 0.650/o 90s 230 p 4.29m/s2 0.63 s 4.03m/s2 6.060/o 70p 250 s 5.51m/s2 0.53 s 5.70m/sz 3.44o/o 4
Lab 3: Atwood Machine mm/dd/20L1, Data Analysis: In the first experiment set, it became apparent that as the mass was increased on both sides with the same mass difference, it took the heavier side longer to touch the ground, and the acceleration is increasing. This is as expected. From the equatioll, dq = [(mz-mrJ/ (mr+mz)]g, the denominator is increasing and the numerator is constant therefore acceleration is increasing. If acceleration is increasing the measured fall time must decrease from the equation, a^= 2y/t2. In the second experiment, we found that an increasing difference between the weights shortened the time considerably. As discussed above this is as expected from the equations, a. - [(mz-mt)/ (mr+mzJ]g and a-=2y/t2 In both experiments the %o error calculations range from about Lo/o to 20010, with the highest %o errors for the smallest values of acceleration. The absolute difference between each set of values a. and am is fairly consistent.
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