Lab B1_ Simple Harmonic Motion.docx - Lab B1 Simple Harmonic Motion Name Tomasz Dulian Experiment Date Submission Date PHYS 103A Professor Huang Group

# Lab B1_ Simple Harmonic Motion.docx - Lab B1 Simple...

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Lab B1: Simple Harmonic Motion Name: Tomasz Dulian Experiment Date: 3/6/19 Submission Date: 3/13/19 PHYS 103A Professor Huang Group: Dipen, Hrushi, Tomasz, Leandro, Diego, Matthew 1. Introduction 1.1) Objective To 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 Background 2. Experimental Procedure 3. Results 3.1) Experimental Data
L = Length of pendulumm = mass (1) T = 2 π m k (2) T = 2 π L g (3) F =− ks ,of w hic hmagnitudeis F = ks (4) F = mg (5) mg = ks Table I Mass of total weight m (kg) Weight of total mass w (N) = mg Position y 1 ( m ) Displacement y = y 1 y 0 (m) 0.05+0.10 1.47N 23.2m 0 0.05+0.15 1.97N 25.2m 1.9m 0.05+0.20 2.45N 27.3m 2.2m 0.05+0.25 2.94N 29.2m 1.9m 0.05+0.30 3.43N 31.2m 2.0m 0.05+0.35 3.92N 33.1m 1.9m 0.05+0.40 4.41N 35.2m 2.1m 0.05+0.45 4.9N 37.2m 2.0m 0.05+0.50 5.59N 39.2m 2.0m
Table II Mass of total weight m (kg) Time for 20 cycles for 1cm amplitude (s) Time for 20 cycles for 3cm amplitude (s) 0.05 + 0.30 16s 15.51s Table III Mass of total weight m (kg) Time for 20 vibrations (s) Average time for 20 oscillations (s) Oscillation period T (s) T 2 ( s 2 ) 0.05 + 0.10 9.92 9.94 4.50 20.28 10.04 9.86 0.05 + 0.15 11.84 12.16 5.20 27.04 12.55 12.08 13.06
0.05 + 0.20