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% Document Info
\author{Pamsj10}
\pdfinfo{
  /Title (mechanics.pdf)
  /Creator (Cheatography)
  /Author (Pamsj10)
  /Subject (mechanics Cheat Sheet)
}

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\noindent
\begin{multicols}{3}
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    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{mechanics Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Pamsj10} via \textcolor{DarkBackground}{\uline{cheatography.com/196052/cs/41168/}}}
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  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Pamsj10 \\
  \uline{cheatography.com/pamsj10} \\
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 5th November, 2023.\\
   Page {\thepage} of \pageref{LastPage}.
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  Measure your website readability!\\
  www.readability-score.com
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\begin{multicols*}{4}

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\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Linear momentum - mass system}}  \tn
% Row 0
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Reynold's Theorem: the bridge. Mass system to control volume. Lagrang to Eulerian & if t=t: Bsys=Bcv, CV=Sys, occupy the same space \tn 
% Row Count 5 (+ 5)
% Row 1
\SetRowColor{white}
extensive quatities (B): depend on the size of the region. If 𝐵 = 𝑚 then b = 1 If 𝐵 = 𝑚𝑣 then b = 𝑣 & if t=t +∆t, Bsys≠ Bcv, Cv≠Sys, we use Reynolds here. \tn 
% Row Count 11 (+ 6)
% Row 2
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intensive quantities (b): independent of the size & Flow rate: Q=Av, if p is constant→mass flow rate \tn 
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\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Reynolds formula}}  \tn
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\mymulticolumn{1}{x{3.833cm}}{when a moving CV we have w as the relative velocity. w= vb-vcs1}  \tn 
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\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Forces acting on fluids}}  \tn
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\mymulticolumn{1}{x{3.833cm}}{dP/dt=ΣFsys=ΣFcv, where P=mv:momentum}  \tn 
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\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{How to set up a cv problem}}  \tn
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whats happening, whats gonna cause. What are we trying to solve. & To draw CV: we think of where you biserts-cut into 2 parts \tn 
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In volume: be within the boundaries of CV. Area integral: must bisect the boundaries/surface of CV & Accummulation? In which integral are we looking. Does the quality act on the surface. Align the flow with dirt vector, \tn 
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\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{mass vs linear momentum}}  \tn
% Row 0
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Balance of Mass: Finding flow rates, the relationship velocities and areas. Scalar. (-/+) from scalar product & Balance of Linear Momentum: Finding relatshs btnw flow properties and forces. Vector. (-/+) from scalar product or direct of vector quantities \tn 
% Row Count 8 (+ 8)
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\mymulticolumn{2}{x{3.833cm}}{B of mass in B of linear momentum problems to find unknown.}  \tn 
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% That's all folks
\end{multicols*}

\end{document}