Getting Started with Mathematica
1:13:10
YouTubeUCCS PChem
Getting Started with Mathematica
Intended to get the new user up-and-running with Mathematica while covering a few introductory topics: 1. Using Mathematica at UCCS -- 2:56 2. Mathematica Notebooks -- 6:41 3. Inputs and Outputs -- 12:06 4. Typesetting -- 20:52 5. Mathematica as a Glorified Calculator -- 33:11 6. Built-in Functions -- 48:42 7. Online Resources -- 1:04:33
61.8K viewsAug 18, 2016
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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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