(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 4.0, MathReader 4.0, or any compatible application. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 4019, 148]*) (*NotebookOutlinePosition[ 5071, 179]*) (* CellTagsIndexPosition[ 5027, 175]*) (*WindowFrame->Normal*) Notebook[{ Cell["Outline of lecture today", "Title"], Cell["Review from last time", "Subtitle"], Cell[CellGroupData[{ Cell["How to suceed in business", "Subsection"], Cell["\<\ what you know, what you can do, seize an opportunity ---> delivery \ the goods!: Get the credit\ \>", "Text"] }, Closed]], Cell["Wetting of surfaces", "Subsection"], Cell[TextData[{ ButtonBox["We can look at a couple of slides on wetting of a surface", ButtonData:>{ URL[ "http://www.unmc.edu/PharmSciences/wwwcourse/Surface%20tension/sld009.\ htm"], None}, ButtonStyle->"Hyperlink"], "\n\n", ButtonBox["thanks to: Dr. A Kabanov of", ButtonData:>{ URL[ "http://www.unmc.edu/PharmSciences/"], None}, ButtonStyle->"Hyperlink"] }], "Text"], Cell[CellGroupData[{ Cell["drop breakup", "Subsection"], Cell["spraying", "Subsubsection"], Cell["wetting", "Subsubsection"] }, Closed]], Cell[CellGroupData[{ Cell["Suface tension in a static force balance", "Subsection"], Cell["\<\ Surface tension force acting along a line (boundary) balances body \ and surface forces on object\ \>", "Text"] }, Closed]], Cell[CellGroupData[{ Cell["Believe it or not integrals", "Subsubsection"], Cell["The force pulling apart the drop would be", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(p_inside\ Integrate[\ r0^2\ Cos[\[Theta]]\ Sin[\[Theta]], {\[Phi], 0, 2\ \[Pi]}, {\[Theta], 0, \[Pi]/2}]\)], "Input", CellLabel->"In[2]:="], Cell[BoxData[ \(TraditionalForm\`\[Pi]\ r0\^2\ p_inside\)], "Output", CellLabel->"Out[2]="] }, Open ]], Cell["The area of a sphere should be", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(\ \)\(Integrate[\ r0^2\ \ \ Sin[\[Theta]], {\[Phi], 0, 2\ \[Pi]}, {\[Theta], 0, \[Pi]}]\)\)\)], "Input", CellLabel->"In[4]:="], Cell[BoxData[ \(TraditionalForm\`4\ \[Pi]\ r0\^2\)], "Output", CellLabel->"Out[4]="] }, Open ]], Cell["The volume of sphere should be", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(\ \)\(Integrate[\ r^2\ \ \ \ Sin[\[Theta]], {\[Phi], 0, 2\ \[Pi]}, {\[Theta], 0, \[Pi]}, \ {r, 0, r0}]\)\)\)], "Input", CellLabel->"In[7]:="], Cell[BoxData[ \(TraditionalForm\`\(4\ \[Pi]\ r0\^3\)\/3\)], "Output", CellLabel->"Out[7]="] }, Open ]] }, Closed]] }, FrontEndVersion->"4.0 for Macintosh", ScreenRectangle->{{0, 1024}, {0, 748}}, CellGrouping->Manual, WindowSize->{520, 626}, WindowMargins->{{1, Automatic}, {Automatic, 1}}, StyleDefinitions -> FrontEnd`FileName[{ParentDirectory[ParentDirectory[]], \ "work files", "mathematica.modules", "mma.finished"}, "mjm1.style", \ CharacterEncoding -> "MacintoshRoman"], MacintoshSystemPageSetup->"\<\ 01@0001804P000000_82@?okonh34`9B;@85:0?l0@00009H0UP00P0068dB`001 2@00I00100000@004Q800BL?0040000000000000000004<001000kBigmT@0?oH ofXIX1=F8040400000400000000000l1\>" ] (*********************************************************************** Cached data follows. 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