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Unformatted text preview: NAME Pendulum Project Due date: TBA (In Class) MAP 2302 001 Please show all your work. Answers without justification will not graded. You may work together in groups of 2 or 3 on this assignment. Each student must explain what they contributed on the assignment. 1 Description of Project You will construct a mathematical model from a data set that was generated from an actual pendulum. The data will be given to you in an Excel format. All the physics you will need is described below. You will need to construct the O.D.E. with its solution. You will also need to compare your model to the actual data by using a graph and finding the maximum error. In a brief paragraph, discuss the possible error that was generated from your method of constructing the O.D.E.. In other words, explain why your approximation differs from the actual experimental data. 2 Mathematical Model of a Damped Pendulum Here we will investigate the mathematics of a damped pendulum. Consider a pendulum with mass m attached to the end of string of length L . The weight of the string is negligible and is therefor ignored. The position of the mass at time t is completely described by the angle ( t ) of the mass from the straight down position and measured in the counterclockwise direction....
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This note was uploaded on 07/18/2011 for the course MAP 2302 taught by Professor Tuncer during the Summer '08 term at University of Florida.
- Summer '08