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Lab B1: Simple Harmonic MotionName: Tomasz Dulian Experiment Date: 3/6/19Submission Date: 3/13/19 PHYS 103AProfessor HuangGroup: Dipen, Hrushi, Tomasz, Leandro, Diego, Matthew1.Introduction1.1) ObjectiveTo determine the spring constant k by stretching the spring and applying Hooke’s Law.To verify that the period vibration of a body on a spring is independent of the amplitude, and is given by:(1)T=2π√❑.To measure the period T of a simple pendulum as a function of the length L of the pendulum, and verify that it is given by(2)T=2π√❑1.2) Theoretical Background2.Experimental Procedure3.Results3.1) Experimental Data
L = Length of pendulumm = mass(1)T=2π√mk(2)T=2π√Lg(3)F=−ks ,of w hic hmagnitudeis F=ks(4)F=mg(5)mg=ksTable IMass of total weight m(kg)Weight of total mass w(N) = mgPositiony1(m)Displacementy=y1−y0(m)0.05+0.101.47N23.2m00.05+0.151.97N25.2m1.9m0.05+0.202.45N27.3m2.2m0.05+0.252.94N29.2m1.9m0.05+0.303.43N31.2m2.0m0.05+0.353.92N33.1m1.9m0.05+0.404.41N35.2m2.1m0.05+0.454.9N37.2m2.0m0.05+0.505.59N39.2m2.0m
Table IIMass of total weight m (kg)Time for 20 cycles for 1cmamplitude (s)Time for 20 cycles for 3cmamplitude (s)0.05 + 0.3016s15.51sTable IIIMass of totalweight m (kg)Time for 20vibrations (s)Average time for20 oscillations (s)Oscillation period T (s)T2(s2)0.05 + 0.109.929.944.5020.2810.049.860.05 + 0.1511.8412.165.2027.0412.5512.0813.06