\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{NoelleEvelyn} \pdfinfo{ /Title (physics-unit-7.pdf) /Creator (Cheatography) /Author (NoelleEvelyn) /Subject (Physics Unit 7 Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{C036E3} \definecolor{LightBackground}{HTML}{FBF2FD} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Physics Unit 7 Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{NoelleEvelyn} via \textcolor{DarkBackground}{\uline{cheatography.com/168075/cs/42167/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}NoelleEvelyn \\ \uline{cheatography.com/noelleevelyn} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 24th January, 2024.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{3} \begin{tabularx}{5.377cm}{x{1.74195 cm} x{3.23505 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Work}} \tn % Row 0 \SetRowColor{LightBackground} Work & Force x Distance \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Do all forces do work? & Only parellel forces do work \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} Force Distance graph & Area under the curve= work \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} Negative Work & Force is in opposite direction of motion \tn % Row Count 7 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.79632 cm} x{4.18068 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Basics}} \tn % Row 0 \SetRowColor{LightBackground} A= & Force on object/ mass of object \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \seqsplit{Motion} & Equations \tn % Row Count 2 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Efficiency}} \tn % Row 0 \SetRowColor{LightBackground} Efficiency & Ration of AMA to IMA \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Efficiency = & AMA/IMA x 100 \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} AMA \textless{} IMA & Wout \textless{} Win \tn % Row Count 3 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Power}} \tn % Row 0 \SetRowColor{LightBackground} Power & The time rate of work \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Joule/ second & watt \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} 746 watt & 1 horsepower \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} Power & Force x velocity \tn % Row Count 4 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.34379 cm} x{3.63321 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Simple Machines}} \tn % Row 0 \SetRowColor{LightBackground} Simple machines & Any device that varies the effect of an applied force \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} 1 & Lever \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} 2 & Pulley \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} 3 & Wheel + Axel \tn % Row Count 5 (+ 1) % Row 4 \SetRowColor{LightBackground} 4 & Inclined plane (screw, wedge) \tn % Row Count 6 (+ 1) % Row 5 \SetRowColor{white} Lever class 1 & LFE \tn % Row Count 8 (+ 2) % Row 6 \SetRowColor{LightBackground} Lever class 2 & FLE \tn % Row Count 10 (+ 2) % Row 7 \SetRowColor{white} Lever class 3 & LEF \tn % Row Count 12 (+ 2) % Row 8 \SetRowColor{LightBackground} A machine can & Redistribute work \tn % Row Count 14 (+ 2) % Row 9 \SetRowColor{white} ... & Change size or direction of input force \tn % Row Count 16 (+ 2) % Row 10 \SetRowColor{LightBackground} ... & Increase output force by change distance the force is applied \tn % Row Count 19 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.33919 cm} x{2.63781 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Energy}} \tn % Row 0 \SetRowColor{LightBackground} Energy & The ability to do work \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Kinetic Energy & associated with motion \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} KE= & 1/2mv\textasciicircum{}2 \tn % Row Count 5 (+ 1) % Row 3 \SetRowColor{white} Units of KE & Joules \tn % Row Count 6 (+ 1) % Row 4 \SetRowColor{LightBackground} KE is directly proportional to V\textasciicircum{}2 & A car at 2x speed has 4x kinetic energy \tn % Row Count 8 (+ 2) % Row 5 \SetRowColor{white} Change in KE & Work \tn % Row Count 9 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.9908 cm} x{2.9862 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Mechanical Advantage}} \tn % Row 0 \SetRowColor{LightBackground} Actual Mechanical Advantage & How much a machine multiplies a force \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} AMA \textgreater{}1 & Makes you stronger \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} AMA \textless{}1 & Makes you weaker \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} IMA & How a machine would multiply a force if it were 100\% efficient \tn % Row Count 7 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}