Ma_Jonathan_Lab9.pdf - Phys 151L/170L u2013 Physics I...

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Phys 151L/170L Physics I Laboratory Experiment: Natural Oscillations with a Spring Due date: Friday 10/30/20 (submission on Laulima as pdf) /61 points Instructions: Please adhere to the guidelines in the syllabus to prepare your solution. You must show all calculations clearly. If you don't, you will not receive credit. Theory (4pts total, 2pt each) 1) By using Eq. 12.4-12.5 of the lab manual, find the frequency of the spring if x=Asin(2 πt) 2pi / 2pi = 1 2) What is simple harmonic motion? The oscillation of a mass on a spring Procedure (5pts total, 1pt each) 1) If you plot the weight of the hanging mass mg vs the displacement x, what is the value of your slope? Hint: use Eq. 12.2 g / k 2) In the static experiment, what is the dependent variable? (i.e., what was measured) X, distance away from equilibrium 3) In the dynamic experiment, what is the dependent variable? (i.e., what was measured) time 4) What is the mass of the hanger at the end of the spring? 0.1 kg 5) List the mass values m used in both experiments (4 total). Both are 0.1kg, 0.2kg, 0.3kg, 0.4 kg Data Analysis (24pts total, 1pt each except as specified) Fill in the following data tables: (4pts) Static Experiment Mass (g) x x 0 (cm) 0.1 0.12 0.2 0.24 0.3 0.35 0.4 0.46 (6pts) Dynamic Experiment: Mass (g) T avg (s) δ T (s) T 2 (s

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