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.