﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Solver" version="1.3.0.9126"?>
<worksheet xmlns="http://smath.info/schemas/worksheet/1.0">
  <settings ppi="144">
    <identity>
      <id>f9c48a99-5a4a-4395-8b73-738b8f1c8321</id>
      <revision>11</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
      <mixedNumbers>false</mixedNumbers>
      <roundingMode>0</roundingMode>
      <approximateEqualAccuracy>3</approximateEqualAccuracy>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="false" viewMode="2" printGrid="false" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true" hideElementsHighlightings="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <margins left="39" right="39" top="49" bottom="49" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Core" version="1.73.9126.0" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="MathRegion" version="1.73.9126.0" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="SpecialFunctions" version="1.73.9126.0" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="TextRegion" version="1.73.9126.0" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="X-Y Plot Region (JXCharts)" version="0.3.9106.25707" guid="c12231ec-4873-43c1-a7d0-a167ebd17066" />
    </dependencies>
  </settings>
  <regions type="content">
    <region left="243" top="0" width="100" height="33" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
      <math>
        <input>
          <e type="operand">v</e>
          <e type="operand">0.109</e>
          <e type="operand" style="unit">m</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="9" width="67" height="23" color="#000000" fontSize="10">
      <text lang="por" fontFamily="Arial" fontSize="10">
        <content>
          <p>Volume: </p>
        </content>
      </text>
    </region>
    <region left="18" top="36" width="50" height="23" color="#000000" fontSize="10">
      <text lang="por" fontFamily="Arial" fontSize="10">
        <content>
          <p>Mass:</p>
        </content>
      </text>
    </region>
    <region left="243" top="36" width="82" height="24" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
      <math>
        <input>
          <e type="operand">m</e>
          <e type="operand">978</e>
          <e type="operand" style="unit">kg</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="72" width="159" height="23" color="#000000" fontSize="10">
      <text lang="por" fontFamily="Arial" fontSize="10">
        <content>
          <p>Distance of rotating arm:</p>
        </content>
      </text>
    </region>
    <region left="243" top="72" width="98" height="24" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
      <math>
        <input>
          <e type="operand">s</e>
          <e type="operand">0.3772</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="243" top="99" width="76" height="33" border="true" color="#000000" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">I</e>
          <e type="operand">m</e>
          <e type="operand">s</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="108" width="55" height="23" color="#000000" fontSize="10">
      <text lang="por" fontFamily="Arial" fontSize="10">
        <content>
          <p>Inertia:</p>
        </content>
      </text>
    </region>
    <region left="18" top="135" width="217" height="23" color="#000000" fontSize="10">
      <text lang="por" fontFamily="Arial" fontSize="10">
        <content>
          <p>Maximum angle of bell movement:</p>
        </content>
      </text>
    </region>
    <region left="243" top="144" width="73" height="30" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
      <math>
        <input>
          <e type="operand">φ.0</e>
          <e type="operand">29</e>
          <e type="operand" style="unit">°</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="180" width="115" height="23" color="#000000" fontSize="10">
      <text lang="por" fontFamily="Arial" fontSize="10">
        <content>
          <p>Beats per minute</p>
        </content>
      </text>
    </region>
    <region left="243" top="180" width="54" height="24" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
      <math>
        <input>
          <e type="operand">A</e>
          <e type="operand">55</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="216" width="111" height="23" color="#000000" fontSize="10">
      <text lang="por" fontFamily="Arial" fontSize="10">
        <content>
          <p>Diameter of bell:</p>
        </content>
      </text>
    </region>
    <region left="243" top="216" width="82" height="24" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
      <math>
        <input>
          <e type="operand">ϕ</e>
          <e type="operand">1.13</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="252" width="96" height="23" color="#000000" fontSize="10">
      <text lang="por" fontFamily="Arial" fontSize="10">
        <content>
          <p>Height of bell:</p>
        </content>
      </text>
    </region>
    <region left="243" top="252" width="58" height="24" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
      <math>
        <input>
          <e type="operand">h</e>
          <e type="operand">1</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="288" width="117" height="23" color="#000000" fontSize="10">
      <text lang="por" fontFamily="Arial" fontSize="10">
        <content>
          <p>Thickness of bell:</p>
        </content>
      </text>
    </region>
    <region left="243" top="288" width="89" height="30" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
      <math>
        <input>
          <e type="operand">t.h</e>
          <e type="operand">0.03</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="108" top="315" width="98" height="49" border="true" color="#000000" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">k</e>
          <e type="operand">φ.0</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="function" args="1">sin</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="324" width="77" height="41" border="true" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.r</e>
          <e type="operand">I</e>
          <e type="operand">m</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="378" width="213" height="57" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">sn</e>
          <e type="operand" style="unit">g.e</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operand">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">I.r</e>
          <e type="operator" args="2">/</e>
          <e type="function" args="1">sqrt</e>
          <e type="operand">t</e>
          <e type="operator" args="2">*</e>
          <e type="operand">k</e>
          <e type="function" args="2">sn</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="441" width="274" height="59" color="#000000" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">φ</e>
          <e type="operand">2</e>
          <e type="operand">k</e>
          <e type="operand" style="unit">g.e</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operand">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">I.r</e>
          <e type="operator" args="2">/</e>
          <e type="function" args="1">sqrt</e>
          <e type="operand">t</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">sin</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">asin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="513" width="134" height="44" color="#000000" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">φ.1</e>
          <e type="operand">t</e>
          <e type="function" args="1">φ</e>
          <e type="operand">t</e>
          <e type="function" args="2">diff</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="180" top="513" width="140" height="44" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">φ.2</e>
          <e type="operand">t</e>
          <e type="function" args="1">φ.1</e>
          <e type="operand">t</e>
          <e type="function" args="2">diff</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="585" width="410" height="43" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">H</e>
          <e type="operand">m</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t</e>
          <e type="function" args="1">φ.1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">t</e>
          <e type="function" args="1">φ</e>
          <e type="function" args="1">sin</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t</e>
          <e type="function" args="1">φ.2</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">t</e>
          <e type="function" args="1">φ</e>
          <e type="function" args="1">cos</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="36" top="648" width="310" height="208" color="#000000" fontSize="10">
      <xyplot width="300" height="200" points="100" name="XYPlot">
        <chartstyle usedefault="false" backcolor="White" bordercolor="Black" />
        <grid gridcolor="LightGray" gridpattern="Dash" gridthickness="1" isxgrid="true" isygrid="true" isy2grid="false" />
        <xaxes xmin="-5" xmax="5" xtick="2.5" visible="True" decimalplaces="3" numberformat="General" />
        <yaxes ymin="-1" ymax="1" ytick="0.5" visible="True" decimalplaces="3" numberformat="General" />
        <y2axes isy2axis="false" y2min="-1" y2max="1" y2tick="0.5" visible="True" decimalplaces="3" numberformat="General" />
        <title2d title="" titlefont="Arial, 10pt" titlefontcolor="Black" />
        <xylabel labelfont="Arial, 10pt" labelfontcolor="Black" tickfont="Arial, 8pt" tickfontcolor="Black" xlabel="x" ylabel="y" y2label="y2" />
        <legend isbordervisible="true" islegendvisible="false" legendbackcolor="White" legendbordercolor="Black" legendfont="Arial, 8pt" legendposition="NorthEast" textcolor="Black" />
        <traces>
          <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" lineantialias="true" linecolor="Blue" linethickness="1" linepattern="Solid" filled="false" hatched="false" fillcolor="64, 0, 0, 255" hatchstyle="Percent20" symbolantialias="true" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
        </traces>
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">φ</e>
        </input>
      </xyplot>
    </region>
    <region left="387" top="648" width="310" height="208" color="#000000" fontSize="10">
      <xyplot width="300" height="200" points="100" name="XYPlot">
        <chartstyle usedefault="false" backcolor="White" bordercolor="Black" />
        <grid gridcolor="LightGray" gridpattern="Dash" gridthickness="1" isxgrid="true" isygrid="true" isy2grid="false" />
        <xaxes xmin="-5" xmax="5" xtick="2.5" visible="True" decimalplaces="3" numberformat="General" />
        <yaxes ymin="-1" ymax="1" ytick="0.5" visible="True" decimalplaces="3" numberformat="General" />
        <y2axes isy2axis="false" y2min="-1" y2max="1" y2tick="0.5" visible="True" decimalplaces="3" numberformat="General" />
        <title2d title="" titlefont="Arial, 10pt" titlefontcolor="Black" />
        <xylabel labelfont="Arial, 10pt" labelfontcolor="Black" tickfont="Arial, 8pt" tickfontcolor="Black" xlabel="x" ylabel="y" y2label="y2" />
        <legend isbordervisible="true" islegendvisible="false" legendbackcolor="White" legendbordercolor="Black" legendfont="Arial, 8pt" legendposition="NorthEast" textcolor="Black" />
        <traces>
          <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" lineantialias="true" linecolor="Blue" linethickness="1" linepattern="Solid" filled="false" hatched="false" fillcolor="64, 0, 0, 255" hatchstyle="Percent20" symbolantialias="true" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
        </traces>
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">H</e>
        </input>
      </xyplot>
    </region>
  </regions>
</worksheet>