\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{Ayesha Talib} \pdfinfo{ /Title (gravitation.pdf) /Creator (Cheatography) /Author (Ayesha Talib) /Subject (Gravitation 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}{A31738} \definecolor{LightBackground}{HTML}{F9F0F2} \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{Gravitation Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Ayesha Talib} via \textcolor{DarkBackground}{\uline{cheatography.com/173447/cs/36695/}}} \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}Ayesha Talib \\ \uline{cheatography.com/ayesha-talib} \\ \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, 2023.\\ 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*}{2} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{UNIVERSAL LAW OF GRAVITATION}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{every object in the universe attracts every other object with a force which is proportional to the product of their masses and inversely proportional to the square of the distance b/w them. \newline % Row Count 4 (+ 4) 6.673.10\textasciicircum{}-11\textasciicircum{}Nm\textasciicircum{}2\textasciicircum{}kg\textasciicircum{}-2\textasciicircum{}; Henry Cavendish using a sensitive balance.% Row Count 6 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{IMPORTANCE}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{force that binds us to earth; motion of moon around earth; motion of planets around sun; tides due to moon and sun.% Row Count 3 (+ 3) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{ACCELERATION DUE TO GRAVITY}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{acceleration experienced by a freely falling object towards the centre of the earth. 9.8 m/s\textasciicircum{}2\textasciicircum{}. \newline % Row Count 2 (+ 2) E\textasciicircum{}R\textasciicircum{}\textgreater{}P\textasciicircum{}R\textasciicircum{} = E\textasciicircum{}g\textasciicircum{}\textless{}P\textasciicircum{}g\textasciicircum{}% Row Count 3 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{{\bf{free fall}}: it is the object falling towards the earth under the influence of attraction force earth/gravity.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{4.08 cm} x{3.92 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{MASS /\textbackslash{} WEIGHT}} \tn % Row 0 \SetRowColor{LightBackground} quantity/amount of matter present in an object & force by which earth attracts an object \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} scalar quantity & vector quantity \tn % Row Count 4 (+ 1) % Row 2 \SetRowColor{LightBackground} SI unit: kg & SI unit: N \tn % Row Count 5 (+ 1) % Row 3 \SetRowColor{white} remains constant everywhere & changes as gravity changes \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} can never be 0 & 0 at the centre of earth \tn % Row Count 9 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{W\textasciicircum{}M\textasciicircum{} = 1/6 W\textasciicircum{}E\textasciicircum{}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{p{1.292 cm} x{3.42 cm} x{2.888 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{8.4cm}}{\bf\textcolor{white}{CELESTIAL BODIES: MASS \& RADIUS}} \tn % Row 0 \SetRowColor{LightBackground} earth & 5.98.10\textasciicircum{}24\textasciicircum{}kg & 6.37.10\textasciicircum{}6\textasciicircum{}m \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} moon & 7.36.10\textasciicircum{}22\textasciicircum{}kg & 1.74.10\textasciicircum{}6\textasciicircum{}m \tn % Row Count 2 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{THRUST}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{force acting on an object perpendicular to the surface.% Row Count 2 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{PRESSURE}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{thrust on unit area. SI unit: Pa or N/m\textasciicircum{}2\textasciicircum{}% Row Count 1 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{BUOYANT FORCE OR UPTHRUST}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{tendency of fluids to exert upward force on an immersed object. \newline % Row Count 2 (+ 2) {\bf{factors affecting buoyant force}} \newline % Row Count 3 (+ 1) volume of the object immersed in fluid \newline % Row Count 4 (+ 1) density of fluid \newline % Row Count 5 (+ 1) acceleration due to gravity \newline % Row Count 6 (+ 1) temperature of fluid\textasciicircum{}inversely proportional\textasciicircum{} \newline % Row Count 7 (+ 1) FLOAT: \newline % Row Count 8 (+ 1) upthrust \textgreater{} weight of object \newline % Row Count 9 (+ 1) \textasciicircum{}d\textasciicircum{}fluid \textgreater{} \textasciicircum{}d\textasciicircum{}object \newline % Row Count 10 (+ 1) SINK: \newline % Row Count 11 (+ 1) upthrust \textless{} weight of object \newline % Row Count 12 (+ 1) \textasciicircum{}d\textasciicircum{}fluid \textless{} \textasciicircum{}d\textasciicircum{}object% Row Count 13 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{density of substance is the mass per unit volume.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{ARCHIMEDES' PRINCIPLE}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{when a body is immersed fully or partially in a fluid, it experiences an upward force that is equal to the weight of the fluid displaced by it. used in designing submarines \& ships, lactometers \& hydrometers.% Row Count 5 (+ 5) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{lactometers: determine the purity if a sample of milk. \newline hydrometers: determine the density of liquids.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}