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Mathematica Essentials - the first PRO COURSE from Socratica Buy here: https://www.socratica.com/courses/mathematica-essentials EPISODE 1 is here: https://socratica.link/Mathematica1 Mathematica Essentials is a comprehensive first course in Mathematica. You might think "Mathematica" is a program just for mathematics, but it can be used in ANY ...
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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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