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Chapter 13 Simple Harmonic Motion

Simple harmonic motion is a special type of periodic motion in which displacement \(x\) from a reference point is a sine or cosine function of time.

\begin{equation*} x (t) = A\, \cos\,(2\pi f\,t) + B\, \cos\,(2\pi f\,t), \end{equation*}

where \(f \) is frequency of the periodic motion, and \(A\) and \(B\) are constants.

The motion of a block attached to a spring is the standard example of the simple harmonic motion. Other less familiar examples are a pendulum of small amplitude and small oscillations of buildings and other structures.