Modified Swinging Atwood's Machine

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Code Video

Project Overview

The objective of this project was to develop a python simulation to model the chaos of a Swinging Atwood's Machine (SAM) with three masses. The equations of motion for the three masses were found using lagrangian mechanics and the energy of the system. This can be seen in the python file. After the three Euler-Lagrange equations were found, this system of three second order ordinary differential equations was turned into a system of six first order ordinary differential equations and solved in python. With the three equations of motion being numerically evaluated at different time points, the system could be animated at every frame and turned into a video.

Simulation

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