Introduction to Mathematica Graphics
wolfram.com
Introduction to Mathematica Graphics
This screencast introduces some of the basics of creating graphics with Mathematica, including plotting data and functions, changing the appearance of graphics, and creating interactive graphics.
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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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