Plane Simple Harmonic Wave Equation

Formula: y(x, t) = A cos[ω (t - (x)/(v)) + ₀] or y(x, t) = A cos(ω t - kx + ₀), where k = (2π)/(λ) is the wave number. Applicable conditions: Undamped plane si…

Syllabus path: Mechanics › SHM & Mechanical Waves

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CSCA Physics Formula Reference

Formula and explanation

Formula: y(x, t) = A cos[ω (t - (x)/(v)) + ₀] or y(x, t) = A cos(ω t - kx + ₀), where k = (2π)/(λ) is the wave number. Applicable conditions: Undamped plane simple harmonic wave propagating in the positive x direction. Explanation: Describes the vibrational displacement at any position x and any time t in the medium.

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SHM & Mechanical Waves

SHM & Mechanical Waves 1. Simple Harmonic Motion (SHM) A. Definition & Features The most basic periodic motion, defined by a Restoring Force. Dynamics: F = - kx (Force proportional to displacement, opposite direction). Kinematics: a = - ω² x. B. Key Quantities Amplitude ( A ): Ma…

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