Mathematica Tutorial: Getting Started for Absolute Beginners
42:50
YouTubeLeandro Junes
Mathematica Tutorial: Getting Started for Absolute Beginners
This guide will show you how to get started with Mathematica even if this is your first time. Several topics are covered such as, numerics, calculus, plots, interactivity, dictionary, and geography.
68.8K viewsAug 7, 2020
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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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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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