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format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="50"/> </region> <region region-id="66" left="24" top="548.25" width="113.25" height="12" align-x="45" align-y="558" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> CHAPTER 3 PROBLEM 5 </text> </region> <region region-id="68" left="18" top="591" width="27.75" height="12.75" align-x="33.75" align-y="600" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">n2</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="69" left="72" top="590.25" width="50.25" height="13.5" align-x="87.75" align-y="600" show-border="false" 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height="29.25" align-x="231.75" align-y="600" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">n1</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">n2</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">θ2</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">θr</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="54"/> </region> <region region-id="72" left="324" top="591" width="48" height="12.75" align-x="339" align-y="600" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">n1</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.3343670043959122</ml:real> </result> </ml:eval> </math> <rendering item-idref="55"/> </region> <region region-id="75" left="30" top="626.25" width="113.25" height="12" align-x="51" align-y="636" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> CHAPTER 3 PROBLEM 6 </text> </region> <region region-id="78" left="30" top="657" width="33.75" height="12.75" align-x="38.25" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>80</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="56"/> </region> <region region-id="79" left="72" top="656.25" width="62.25" height="13.5" align-x="88.5" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">α1</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>43.53</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="57"/> </region> <region region-id="80" left="144" top="656.25" width="57.75" height="13.5" align-x="160.5" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">α2</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>3.58</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="81" left="216" top="656.25" width="59.25" height="13.5" align-x="231.75" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h1</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">α1</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="59"/> </region> <region region-id="82" left="288" top="657" width="54" height="12.75" align-x="303" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h1</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">ft</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>75.996814291689375</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="60"/> </region> <region region-id="83" left="30" top="686.25" width="59.25" height="13.5" align-x="45.75" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h2</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">α2</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="61"/> </region> <region region-id="84" left="108" top="687" width="49.5" height="12.75" align-x="123" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h2</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">ft</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>5.0051381914705839</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="62"/> </region> <region region-id="85" left="186" top="687" width="51.75" height="12.75" align-x="198.75" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">H</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">h1</ml:id> <ml:id xml:space="preserve">h2</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="86" left="252" top="687" width="51" height="12.75" align-x="264" align-y="696" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">H</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">ft</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>81.001952483159954</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="64"/> </region> <region region-id="89" left="36" top="722.25" width="113.25" height="12" align-x="57" align-y="732" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> CHAPTER 3 PROBLEM 7 </text> </region> <region region-id="94" left="168" top="735" width="33.75" height="12.75" align-x="176.25" align-y="744" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>12</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="65"/> </region> <region region-id="90" left="36" top="758.25" width="58.5" height="27.75" align-x="48.75" align-y="774" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">α</ml:id> <ml:apply> <ml:id xml:space="preserve">acos</ml:id> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="66"/> </region> <region region-id="91" left="108" top="764.25" width="60" height="13.5" align-x="120" align-y="774" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">α</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result 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align-x="264" align-y="774" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">H</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">ft</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>11.618950038622252</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="69"/> </region> <region region-id="97" left="30" top="806.25" width="113.25" height="12" align-x="51" align-y="816" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> CHAPTER 3 PROBLEM 8 </text> </region> <region region-id="102" left="36" top="831" 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item-idref="118"/> </region> <region region-id="163" left="264" top="1749" width="28.5" height="12.75" align-x="276" align-y="1758" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">T</ml:id> <ml:real>50</ml:real> </ml:define> </math> <rendering item-idref="119"/> </region> <region region-id="164" left="48" top="1770" width="60.75" height="33.75" align-x="59.25" align-y="1800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">p</ml:id> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">A</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">B</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">T</ml:id> <ml:id xml:space="preserve">C</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="120"/> </region> <region region-id="165" left="156" top="1791" width="52.5" height="12.75" align-x="166.5" align-y="1800" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">p</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>612.69413436438674</ml:real> </result> </ml:eval> </math> <rendering item-idref="121"/> </region> <region region-id="166" left="48" top="1821" width="32.25" height="12.75" align-x="59.25" align-y="1830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">p</ml:id> <ml:real>760</ml:real> </ml:define> </math> <rendering item-idref="122"/> </region> <region region-id="167" left="18" top="1868.25" width="118.5" height="12" align-x="39" align-y="1878" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> CHAPTER 3 PROBLEM 11 </text> </region> <region region-id="177" left="18" top="1886.25" width="52.5" height="33.75" align-x="37.5" align-y="1902" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">ρA</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>20</ml:real> <ml:apply> 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xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">h</ml:id> <ml:id xml:space="preserve">Hc</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">R</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">Hc</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">R</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">h</ml:id> <ml:id xml:space="preserve">Hc</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="129"/> </region> <region region-id="210" left="18" top="1971" width="36.75" height="12.75" align-x="29.25" align-y="1980" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>21</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="130"/> </region> <region region-id="211" left="72" top="1965" width="87.75" height="18.75" align-x="96" 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optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">M</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">ρA</ml:id> <ml:apply> <ml:id xml:space="preserve">V</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="132"/> </region> <region region-id="214" left="252" top="1965" width="70.5" height="18.75" align-x="266.25" align-y="1980" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">M</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lb</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>47498.34406720136</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="133"/> </region> <region region-id="215" left="18" top="2006.25" width="118.5" height="12" align-x="39" align-y="2016" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> CHAPTER 3 PROBLEM 12 </text> </region> <region region-id="218" left="18" top="2031" width="44.25" height="12.75" align-x="33" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">M</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>75</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="134"/> </region> <region 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xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>367.749375</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="136"/> </region> <region region-id="381" left="18" top="2060.25" width="69" height="27.75" align-x="32.25" align-y="2076" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fh</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>50</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="137"/> </region> <region region-id="382" left="126" top="2067" width="64.5" height="12.75" align-x="139.5" align-y="2076" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fh</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>308.57836492817523</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="138"/> </region> <region region-id="287" left="210" top="2059.5" width="69.75" height="20.25" align-x="228" align-y="2076" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FR</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> 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height="27.75" align-x="32.25" align-y="2118" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fh</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>30</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="141"/> </region> <region region-id="384" left="126" top="2109" width="64.5" height="12.75" align-x="139.5" align-y="2118" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fh</ml:id> 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<region region-id="386" left="300" top="2109" width="68.25" height="12.75" align-x="317.25" align-y="2118" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FR</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>735.49875</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="144"/> </region> <region region-id="387" left="24" top="2150.25" width="118.5" height="12" align-x="45" align-y="2160" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> CHAPTER 3 PROBLEM 13 </text> </region> <region region-id="388" left="24" top="2187" 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Mathcad Professional 13.0 <description/> <author>John Strybos</author> <company/> <keywords/> <revisedBy>Hutu Tootsi</revisedBy> </userData> <identityInfo> <revision>19</revision> <documentID>36a15468-02be-48e6-b20a-51347518665a</documentID> <versionID>b7f5127a-21be-4dfc-872d-75c2a6d70465</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" 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height="12.75" align-x="347.25" align-y="390" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">RHS</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="51" left="18" top="404.25" width="113.25" height="12" align-x="39" align-y="414" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> CHAPTER 3 PROBLEM 4 </text> </region> <region region-id="53" left="24" top="435" width="36.75" height="12.75" align-x="35.25" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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height="13.5" align-x="300" align-y="444" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">α</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>36.25383773744479</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="degree"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="58" left="24" top="465" width="107.25" height="12.75" align-x="37.5" align-y="474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" 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</ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>7562.5</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="46"/> </region> <region region-id="60" left="216" top="465" width="57.75" height="12.75" align-x="228.75" align-y="474" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">A</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">acre</ml:id> </ml:unitOverride> <result 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width="42" height="12.75" align-x="126" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">TC</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">C</ml:id> <ml:id xml:space="preserve">A</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="63" left="180" top="495" width="52.5" height="12.75" align-x="197.25" align-y="504" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">TC</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>27225</ml:real> </result> </ml:eval> <resultFormat> <decimal precision="2" show-trailing-zeros="false" radix="dec" complex-threshold="10"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="50"/> </region> <region region-id="66" left="24" top="548.25" width="113.25" height="12" align-x="45" align-y="558" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> CHAPTER 3 PROBLEM 5 </text> </region> <region region-id="68" left="18" top="591" width="27.75" height="12.75" align-x="33.75" align-y="600" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">n2</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="51"/> </region> <region 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background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">n1</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.3343670043959122</ml:real> </result> </ml:eval> </math> <rendering item-idref="55"/> </region> <region region-id="75" left="30" top="626.25" width="113.25" height="12" align-x="51" align-y="636" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> CHAPTER 3 PROBLEM 6 </text> </region> <region region-id="78" left="30" top="657" width="33.75" height="12.75" align-x="38.25" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id 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<ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">α2</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>3.58</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="81" left="216" top="656.25" width="59.25" height="13.5" align-x="231.75" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h1</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">α1</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="59"/> </region> <region region-id="82" left="288" top="657" width="54" height="12.75" align-x="303" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h1</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">ft</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>75.996814291689375</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="60"/> </region> <region region-id="83" left="30" top="686.25" width="59.25" height="13.5" align-x="45.75" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h2</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id 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xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="65"/> </region> <region region-id="90" left="36" top="758.25" width="58.5" height="27.75" align-x="48.75" align-y="774" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">α</ml:id> <ml:apply> <ml:id xml:space="preserve">acos</ml:id> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="66"/> </region> <region region-id="91" left="108" top="764.25" width="60" height="13.5" align-x="120" align-y="774" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> 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xml:space="preserve">Hc</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">R</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">h</ml:id> <ml:id xml:space="preserve">Hc</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="129"/> </region> <region region-id="210" left="18" top="1971" width="36.75" height="12.75" align-x="29.25" align-y="1980" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>21</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> 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align-y="1980" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">M</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">ρA</ml:id> <ml:apply> <ml:id xml:space="preserve">V</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="132"/> </region> <region region-id="214" left="252" top="1965" width="70.5" height="18.75" align-x="266.25" align-y="1980" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">M</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lb</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>47498.34406720136</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="133"/> </region> <region region-id="215" left="18" top="2006.25" width="118.5" height="12" align-x="39" align-y="2016" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> CHAPTER 3 PROBLEM 12 </text> </region> <region region-id="218" left="18" top="2031" width="44.25" height="12.75" align-x="33" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">M</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>75</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="219" left="72" top="2024.25" width="42" height="27.75" align-x="86.25" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">M</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">g</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="135"/> </region> <region region-id="220" left="144" top="2031" width="64.5" height="12.75" align-x="157.5" align-y="2040" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fv</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>367.749375</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="136"/> </region> <region region-id="381" left="18" top="2060.25" width="69" height="27.75" align-x="32.25" align-y="2076" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fh</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>50</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="137"/> </region> <region region-id="382" left="126" top="2067" width="64.5" height="12.75" align-x="139.5" align-y="2076" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fh</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>308.57836492817523</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="138"/> </region> <region region-id="287" left="210" top="2059.5" width="69.75" height="20.25" align-x="228" align-y="2076" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FR</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fv</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fh</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="139"/> </region> <region region-id="288" left="300" top="2067" width="68.25" height="12.75" align-x="317.25" align-y="2076" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FR</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>480.0627147723896</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="140"/> </region> <region region-id="383" left="18" top="2102.25" width="69" height="27.75" align-x="32.25" align-y="2118" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fh</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>30</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="141"/> </region> <region region-id="384" left="126" top="2109" width="64.5" height="12.75" align-x="139.5" align-y="2118" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fh</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>636.96060195169991</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="142"/> </region> <region region-id="385" left="210" top="2101.5" width="69.75" height="20.25" align-x="228" align-y="2118" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FR</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fv</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fh</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="143"/> </region> <region region-id="386" left="300" top="2109" width="68.25" height="12.75" align-x="317.25" align-y="2118" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FR</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>735.49875</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="144"/> </region> <region region-id="387" left="24" top="2150.25" width="118.5" height="12" align-x="45" align-y="2160" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> CHAPTER 3 PROBLEM 13 </text> </region> <region region-id="388" left="24" top="2187" width="48.75" height="12.75" align-x="39" align-y="2196" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">M</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>150</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="145"/> </region> <region region-id="389" left="78" top="2187" width="39" height="12.75" align-x="92.25" align-y="2196" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">M</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="146"/> </region> <region region-id="390" left="150" top="2181" width="80.25" height="18.75" align-x="163.5" align-y="2196" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fv</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>1470.9975</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="147"/> </region> <region region-id="391" left="24" top="2216.25" width="69" height="27.75" align-x="38.25" align-y="2232" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fh</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>50</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="148"/> </region> <region region-id="392" left="132" top="2217" width="80.25" height="18.75" align-x="145.5" align-y="2232" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fh</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>1234.3134597127009</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="149"/> </region> <region region-id="393" left="216" top="2215.5" width="69.75" height="20.25" align-x="234" align-y="2232" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FR</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fv</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fh</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="150"/> </region> <region region-id="394" left="306" top="2217" width="79.5" height="18.75" align-x="323.25" align-y="2232" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FR</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>1920.2508590895584</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="151"/> </region> <region region-id="395" left="24" top="2264.25" width="118.5" height="12" align-x="45" align-y="2274" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> CHAPTER 3 PROBLEM 14 </text> </region> <region region-id="403" left="144" top="2294.25" width="54.75" height="13.5" align-x="156" align-y="2304" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">θ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real font="0">36.34</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="152"/> </region> <region region-id="396" left="24" top="2301" width="48.75" height="12.75" align-x="39" align-y="2310" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">M</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>150</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="153"/> </region> <region region-id="397" left="78" top="2301" width="39" height="12.75" align-x="92.25" align-y="2310" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">M</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="154"/> </region> <region region-id="399" left="24" top="2324.25" width="51" height="28.5" align-x="38.25" align-y="2340" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id 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align-x="234" align-y="2340" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FR</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fv</ml:id> <ml:real>2</m