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4600kine.fodt
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<?xml version="1.0" encoding="UTF-8"?>
<office:document xmlns:office="urn:oasis:names:tc:opendocument:xmlns:office:1.0" xmlns:ooo="http://openoffice.org/2004/office" xmlns:fo="urn:oasis:names:tc:opendocument:xmlns:xsl-fo-compatible:1.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:config="urn:oasis:names:tc:opendocument:xmlns:config:1.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:meta="urn:oasis:names:tc:opendocument:xmlns:meta:1.0" xmlns:style="urn:oasis:names:tc:opendocument:xmlns:style:1.0" xmlns:text="urn:oasis:names:tc:opendocument:xmlns:text:1.0" xmlns:rpt="http://openoffice.org/2005/report" xmlns:draw="urn:oasis:names:tc:opendocument:xmlns:drawing:1.0" xmlns:dr3d="urn:oasis:names:tc:opendocument:xmlns:dr3d:1.0" xmlns:svg="urn:oasis:names:tc:opendocument:xmlns:svg-compatible:1.0" xmlns:chart="urn:oasis:names:tc:opendocument:xmlns:chart:1.0" xmlns:table="urn:oasis:names:tc:opendocument:xmlns:table:1.0" xmlns:number="urn:oasis:names:tc:opendocument:xmlns:datastyle:1.0" xmlns:ooow="http://openoffice.org/2004/writer" xmlns:oooc="http://openoffice.org/2004/calc" xmlns:of="urn:oasis:names:tc:opendocument:xmlns:of:1.2" xmlns:xforms="http://www.w3.org/2002/xforms" xmlns:tableooo="http://openoffice.org/2009/table" xmlns:calcext="urn:org:documentfoundation:names:experimental:calc:xmlns:calcext:1.0" xmlns:drawooo="http://openoffice.org/2010/draw" xmlns:loext="urn:org:documentfoundation:names:experimental:office:xmlns:loext:1.0" xmlns:field="urn:openoffice:names:experimental:ooo-ms-interop:xmlns:field:1.0" xmlns:math="http://www.w3.org/1998/Math/MathML" xmlns:form="urn:oasis:names:tc:opendocument:xmlns:form:1.0" xmlns:script="urn:oasis:names:tc:opendocument:xmlns:script:1.0" xmlns:formx="urn:openoffice:names:experimental:ooxml-odf-interop:xmlns:form:1.0" xmlns:dom="http://www.w3.org/2001/xml-events" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xhtml="http://www.w3.org/1999/xhtml" xmlns:grddl="http://www.w3.org/2003/g/data-view#" xmlns:css3t="http://www.w3.org/TR/css3-text/" xmlns:officeooo="http://openoffice.org/2009/office" office:version="1.3" office:mimetype="application/vnd.oasis.opendocument.text">
<office:meta><meta:generator>LibreOffice/7.4.6.2$Windows_X86_64 LibreOffice_project/5b1f5509c2decdade7fda905e3e1429a67acd63d</meta:generator><meta:initial-creator>Aik-Siong Koh</meta:initial-creator><meta:creation-date>1998-10-28T07:23:00</meta:creation-date><dc:creator>Aik-Siong Koh</dc:creator><dc:date>2018-07-04T13:13:57.91</dc:date><dc:language>en-US</dc:language><meta:editing-cycles>5</meta:editing-cycles><meta:editing-duration>PT35M44S</meta:editing-duration><meta:document-statistic meta:table-count="0" meta:image-count="0" meta:object-count="5" meta:page-count="1" meta:paragraph-count="16" meta:word-count="68" meta:character-count="510"/><meta:user-defined meta:name="Info 1"/><meta:user-defined meta:name="Info 2"/><meta:user-defined meta:name="Info 3"/><meta:user-defined meta:name="Info 4"/></office:meta>
<office:settings>
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<config:config-item config:name="ViewAreaLeft" config:type="long">501</config:config-item>
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<config:config-item config:name="ViewAreaHeight" config:type="long">19787</config:config-item>
<config:config-item config:name="ShowRedlineChanges" config:type="boolean">true</config:config-item>
<config:config-item config:name="InBrowseMode" config:type="boolean">true</config:config-item>
<config:config-item-map-indexed config:name="Views">
<config:config-item-map-entry>
<config:config-item config:name="ViewId" config:type="string">view2</config:config-item>
<config:config-item config:name="ViewLeft" config:type="long">684</config:config-item>
<config:config-item config:name="ViewTop" config:type="long">1201</config:config-item>
<config:config-item config:name="VisibleLeft" config:type="long">501</config:config-item>
<config:config-item config:name="VisibleTop" config:type="long">501</config:config-item>
<config:config-item config:name="VisibleRight" config:type="long">37197</config:config-item>
<config:config-item config:name="VisibleBottom" config:type="long">20286</config:config-item>
<config:config-item config:name="ZoomType" config:type="short">0</config:config-item>
<config:config-item config:name="ViewLayoutColumns" config:type="short">1</config:config-item>
<config:config-item config:name="ViewLayoutBookMode" config:type="boolean">false</config:config-item>
<config:config-item config:name="ZoomFactor" config:type="short">115</config:config-item>
<config:config-item config:name="IsSelectedFrame" config:type="boolean">false</config:config-item>
<config:config-item config:name="KeepRatio" config:type="boolean">false</config:config-item>
<config:config-item config:name="HideWhitespace" config:type="boolean">false</config:config-item>
<config:config-item config:name="AnchoredTextOverflowLegacy" config:type="boolean">true</config:config-item>
</config:config-item-map-entry>
</config:config-item-map-indexed>
</config:config-item-set>
<config:config-item-set config:name="ooo:configuration-settings">
<config:config-item config:name="ProtectForm" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrinterName" config:type="string">HP Officejet Pro 8600 (Network)</config:config-item>
<config:config-item config:name="EmbeddedDatabaseName" config:type="string"/>
<config:config-item config:name="CurrentDatabaseDataSource" config:type="string"/>
<config:config-item config:name="LinkUpdateMode" config:type="short">1</config:config-item>
<config:config-item config:name="AddParaTableSpacingAtStart" config:type="boolean">true</config:config-item>
<config:config-item config:name="FloattableNomargins" config:type="boolean">false</config:config-item>
<config:config-item config:name="UnbreakableNumberings" config:type="boolean">false</config:config-item>
<config:config-item config:name="FieldAutoUpdate" config:type="boolean">true</config:config-item>
<config:config-item config:name="AddVerticalFrameOffsets" config:type="boolean">false</config:config-item>
<config:config-item config:name="BackgroundParaOverDrawings" config:type="boolean">false</config:config-item>
<config:config-item config:name="AddParaTableSpacing" config:type="boolean">true</config:config-item>
<config:config-item config:name="ChartAutoUpdate" config:type="boolean">true</config:config-item>
<config:config-item config:name="CurrentDatabaseCommand" config:type="string"/>
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<config:config-item config:name="AlignTabStopPosition" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrinterPaperFromSetup" config:type="boolean">false</config:config-item>
<config:config-item config:name="IsKernAsianPunctuation" config:type="boolean">false</config:config-item>
<config:config-item config:name="CharacterCompressionType" config:type="short">0</config:config-item>
<config:config-item config:name="ApplyUserData" config:type="boolean">true</config:config-item>
<config:config-item config:name="DoNotJustifyLinesWithManualBreak" config:type="boolean">true</config:config-item>
<config:config-item config:name="SaveThumbnail" config:type="boolean">true</config:config-item>
<config:config-item config:name="SaveGlobalDocumentLinks" config:type="boolean">false</config:config-item>
<config:config-item config:name="SmallCapsPercentage66" config:type="boolean">true</config:config-item>
<config:config-item config:name="CurrentDatabaseCommandType" config:type="int">0</config:config-item>
<config:config-item config:name="SaveVersionOnClose" config:type="boolean">false</config:config-item>
<config:config-item config:name="UpdateFromTemplate" config:type="boolean">true</config:config-item>
<config:config-item config:name="DoNotCaptureDrawObjsOnPage" config:type="boolean">false</config:config-item>
<config:config-item config:name="UseFormerObjectPositioning" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrintSingleJobs" config:type="boolean">false</config:config-item>
<config:config-item config:name="EmbedSystemFonts" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrinterIndependentLayout" config:type="string">disabled</config:config-item>
<config:config-item config:name="IsLabelDocument" config:type="boolean">false</config:config-item>
<config:config-item config:name="AddFrameOffsets" config:type="boolean">false</config:config-item>
<config:config-item config:name="AddExternalLeading" config:type="boolean">false</config:config-item>
<config:config-item config:name="MsWordCompMinLineHeightByFly" config:type="boolean">false</config:config-item>
<config:config-item config:name="UseOldNumbering" config:type="boolean">true</config:config-item>
<config:config-item config:name="OutlineLevelYieldsNumbering" config:type="boolean">false</config:config-item>
<config:config-item config:name="DoNotResetParaAttrsForNumFont" config:type="boolean">true</config:config-item>
<config:config-item config:name="IgnoreFirstLineIndentInNumbering" config:type="boolean">true</config:config-item>
<config:config-item config:name="AllowPrintJobCancel" config:type="boolean">true</config:config-item>
<config:config-item config:name="UseFormerLineSpacing" config:type="boolean">true</config:config-item>
<config:config-item config:name="AddParaSpacingToTableCells" config:type="boolean">false</config:config-item>
<config:config-item config:name="AddParaLineSpacingToTableCells" config:type="boolean">false</config:config-item>
<config:config-item config:name="UseFormerTextWrapping" config:type="boolean">true</config:config-item>
<config:config-item config:name="RedlineProtectionKey" config:type="base64Binary"/>
<config:config-item config:name="ConsiderTextWrapOnObjPos" config:type="boolean">false</config:config-item>
<config:config-item config:name="TableRowKeep" config:type="boolean">false</config:config-item>
<config:config-item config:name="TabsRelativeToIndent" config:type="boolean">true</config:config-item>
<config:config-item config:name="IgnoreTabsAndBlanksForLineCalculation" config:type="boolean">false</config:config-item>
<config:config-item config:name="RsidRoot" config:type="int">568319</config:config-item>
<config:config-item config:name="LoadReadonly" config:type="boolean">false</config:config-item>
<config:config-item config:name="ClipAsCharacterAnchoredWriterFlyFrames" config:type="boolean">true</config:config-item>
<config:config-item config:name="UnxForceZeroExtLeading" config:type="boolean">true</config:config-item>
<config:config-item config:name="UseOldPrinterMetrics" config:type="boolean">false</config:config-item>
<config:config-item config:name="TabAtLeftIndentForParagraphsInList" config:type="boolean">false</config:config-item>
<config:config-item config:name="Rsid" config:type="int">568319</config:config-item>
<config:config-item config:name="MsWordCompTrailingBlanks" config:type="boolean">false</config:config-item>
<config:config-item config:name="MathBaselineAlignment" config:type="boolean">false</config:config-item>
<config:config-item config:name="InvertBorderSpacing" config:type="boolean">false</config:config-item>
<config:config-item config:name="CollapseEmptyCellPara" config:type="boolean">false</config:config-item>
<config:config-item config:name="TabOverflow" config:type="boolean">false</config:config-item>
<config:config-item config:name="StylesNoDefault" config:type="boolean">false</config:config-item>
<config:config-item config:name="ClippedPictures" config:type="boolean">false</config:config-item>
<config:config-item config:name="EmbedFonts" config:type="boolean">false</config:config-item>
<config:config-item config:name="EmbedOnlyUsedFonts" config:type="boolean">false</config:config-item>
<config:config-item config:name="EmbedLatinScriptFonts" config:type="boolean">true</config:config-item>
<config:config-item config:name="EmbedAsianScriptFonts" config:type="boolean">true</config:config-item>
<config:config-item config:name="EmptyDbFieldHidesPara" config:type="boolean">false</config:config-item>
<config:config-item config:name="EmbedComplexScriptFonts" config:type="boolean">true</config:config-item>
<config:config-item config:name="TabOverMargin" config:type="boolean">false</config:config-item>
<config:config-item config:name="TabOverSpacing" config:type="boolean">false</config:config-item>
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<text:h text:style-name="Heading_20_1" text:outline-level="1">Kinematic Analysis</text:h>
<text:h text:style-name="Heading_20_2" text:outline-level="2">Position Kinematics</text:h>
<text:p text:style-name="Standard">Redundant constraints have already been removed.</text:p>
<text:p text:style-name="Standard">Number of constraints = number of variables.</text:p>
<text:p text:style-name="Standard">Holonomic constraints:</text:p>
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<mi mathvariant="normal">u</mi>
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<annotation encoding="StarMath 5.0">{bold nitalic G}
left(
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t
right)
=
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<text:p text:style-name="equation">These equations are nonlinear and must be solved using Newton-Raphson’s method.</text:p>
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<text:h text:style-name="Heading_20_2" text:outline-level="2">Velocity Kinematics</text:h>
<text:p text:style-name="Standard">Similarly, the initial state velocities must satisfy holonomic and nonholonomic constraints:</text:p>
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