Creating Movies and Animations in Mathematica
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Creating Movies and Animations in Mathematica
This tutorial illustrates how to create movies and animations in Mathematica. We show a workflow to create a series of static figures before stitching them all together to create a movie file (.avi file). Topics include but are not limited to: Topics and Timestamps: 0:00 – Introduction 1:20 – Simple animation using ‘Manipulate’ 7:58 ...
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x = A cos(ωt + φ)A point moving at constant angular speed ω around a circle of radius A projects a straight-line shadow that performs simple harmonic motion. The x-component of this uniform circular motion is exactly x(t) = A cos(ωt + φ).This geometric projection is the direct link between circular motion and trigonometric functions. It provides a clear visual explanation for why the solutions to the simple harmonic motion equation are sinusoidal, without needing to solve differential equations.
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