lab 1 experiment 18 phy 2

# lab 1 experiment 18 phy 2 - Lab 1 Experiment 18: Simple...

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Lab 1 Experiment 18: Simple Harmonic Motion of a Glider on an Air Track Judy Arnobit Lab Partners: James Antonius and Alex Mazzota Thomas Hamrick September 22, 2009

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Introduction: This experiment studies the concept of equilibrium in which the sum of the forces add up to zero. In this experiment, the motion of a glider on an air track attached to two springs will be observed. There are three objectives for this observation, to study glider oscillations on an air track for a glider held by a spring one ach side, to understand the characteristics of oscillating motion: amplitude, period, frequency, and phase, and to explore harmonic motion that includes damping forces. If a force is exerted onto the glider to upset the equilibrium the springs will exert a net force, the restoring force, to try and bring the glider back to it’s’ equilibrium position, commonly called the stable equilibrium position. The glider will try to get back to this stable equilibrium position but will still have some velocity when approaching it so the end effect is an oscillation around the equilibrium position. This oscillation can be described as a cosine or sine function which is known as simple harmonic motion. By introducing x as an instantaneous position of the glider and x o as the equilibrium position the problem can be analyzed knowing the net horizontal restoring force F on the glider will pull it back to x o . Friction is present in this experiment so to study its affects the 2 nd investigation will use a glider with magnets attached to them so the amount of friction present will vary. When the glider is moving the moving magnetic fields generate eddy currents in the track which produce a damping force proportion to the velocity of the glider. The damping constant b is the decay constant so if it is non zero the amplitude decreases exponentially with time frequency w’ is smaller than the frequency w without friction. Data: M(glider)= 393.9g M(orange magnets)= 32.1g M(green magnets)= 33.2 g Table 1: Investigation 1 Time and Position Position, Run #1 Position, Run #2 Time ( s ) Position ( m ) Time ( s ) Position ( m ) Centered Pos.(x-xo) 1.90E-03 0.655 2.28E-03 0.7855 0.7855 0.1019 0.6541 0.1024 0.8371 0.8371 0.2019 0.6536 0.2026 0.8786 0.8786 0.3019 0.6534 0.3026 0.9045 0.9045 0.4015 0.527 0.4027 0.9204 0.9204 0.5019 0.6536 0.5027 0.919 0.919 0.6019 0.6541 0.6026 0.8997 0.8997 0.7019 0.6545 0.7025 0.8715 0.8715 0.8019 0.6548 0.8024 0.8284 0.8284 0.9019 0.6553 0.9023 0.7757 0.7757 1.0019 0.656 1.0021 0.7164 0.7164 1.1019 0.6564 1.1019 0.6541 0.6541 1.2019 0.6567 1.2017 0.5924 0.5924 1.3019 0.6569 1.3015 0.5279 0.5279 1.4018 0.6357 1.4014 0.4844 0.4844 1.5019 0.6567 1.5013 0.4443 0.4443 1.6019 0.6564 1.6012 0.4162 0.4162 1.7019 0.656 1.7012 0.4025 0.4025
1.8019 0.6524 1.8012 0.4032 0.4032 1.9019 0.655 1.9012 0.418 0.418 2.0019 0.6545 2.0013 0.4463 0.4463 2.1019 0.6505 2.1014 0.4866 0.4866 2.2019 0.6538 2.2016 0.5342 0.5342 2.3019 0.6536 2.3017 0.5924 0.5924 2.4019

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## This note was uploaded on 10/20/2009 for the course PHY 1156 taught by Professor Tad.h during the Spring '09 term at Northeastern.

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lab 1 experiment 18 phy 2 - Lab 1 Experiment 18: Simple...

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