documentclass[10pt, preprint2]{aastex

Jun 29th, 2015
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The approach to solving falling bodies is well known in our current understanding of physics for the majority of cases. On occasion, however, we come across some examples which are very hard to interpret in the conventional analytical approach, and must be solved using computational.

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\documentclass[10pt, preprint2]{aastex}\usepackage{amsmath} % needed for \tfrac, \bmatrix, etc.\usepackage{amsfonts} % needed for bold Greek, Fraktur, and blackboard bold\usepackage{graphicx} % for figures\shorttitle{Damped Quantum Oscillator}\shortauthors{Clendenning \& MacMillan}\begin{document}\title{Assignment 6 Falling Chain}\author{Nicholas Buhagiar, Brian Frendo-Cumbo, Warren Gies and Humza Nusrat}\affil{Faculty of Science, University of Ontario Institute of Technology, Oshawa, Ontario, Canada}\section{INTRODUCTION}The approach to solving falling bodies is well known in our current understanding of physics for the majority of cases. On occasion, however, we come across some examples which are very hard to interpret in the conventional analytical approach, and must be solved using computational and numerical methods. The falling chain problem is an example of a situation where it is extremely hard to describe its motion without invoking some reasonable assumptions regarding initial conditions and boundary conditions so that the problem can be more easily solved. This problem has been studied from various angles which range from free falling chains, chains in a large heap falling from the side of a table, the falling chain tip (Our topic of study), and many more.\begin{figure}[!h]\centering\includegraphics[scale=0.2]{figure_3.pdf}\caption{Figure 1 ``Mass of a falling chain''. The diagram shows a chain falling onto a scale. Observations have

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