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Worked Example of 2 Particle System - MATLAB Tutorial - Implications of Energy and Momentum Conservation

Ross Dynamics Lab via YouTube

Overview

This course covers the following learning outcomes and goals: understanding the center of mass corollary, decomposing the motion of a system of particles into motion of the center of mass and motion about the center of mass, detailed worked example of a 2 particle spring-mass system, implications of energy and momentum conservation, and using MATLAB to solve problems. The individual skills or tools taught in this course include center of mass definition, working with a two-particle spring system, using polar coordinates, understanding conservation of angular momentum and total energy, solving radial dynamic equations, and conducting computational tutorials using MATLAB. The teaching method of the course involves lectures, worked examples, and a computational tutorial using MATLAB. The intended audience for this course includes students and professionals interested in aerospace engineering, dynamics, mechanics, physics, mathematics, and those looking to enhance their problem-solving skills in the context of space vehicle dynamics.

Syllabus

Center of mass definition.
Center of mass corollary.
If total external force is zero, center of mass motion is very simple.
Two particle spring system (dumbbell spring).
Use center of mass as origin of frame and polar coordinates.
Angular momentum and total energy are conserved.
Radial dynamic equation.
Computational tutorial, including Matlab.

Taught by

Ross Dynamics Lab

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