Skip to main content
Home
Updates
YouTube
JEE
Contact
Contents Index
Search Book
close
Search Results:
No results.
Prev Up Next \(\require{cancel}ewcommand{\N}{\mathbb N} ewcommand{\Z}{\mathbb Z} ewcommand{\Q}{\mathbb Q} ewcommand{\R}{\mathbb R}
ewcommand{\lt}{<}
ewcommand{\gt}{>}
ewcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
ewcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
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.
