﻿<?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="96">
    <identity>
      <id>6d7b99e8-8384-42cd-8e2c-e6d0aa643d7a</id>
      <revision>6</revision>
    </identity>
    <metadata lang="rus">
      <author>ФГБОУ ВО "НИУ "МЭИ"</author>
    </metadata>
    <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="false">
      <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="0.4.9364.4199" guid="c12231ec-4873-43c1-a7d0-a167ebd17066" />
      <assembly name="Mathcad Toolbox" version="0.5.9130.35983" guid="ddc09821-49f1-4c21-a829-6499de0a8f06" />
    </dependencies>
  </settings>
  <regions type="content">
    <region left="0" top="0" width="58" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">L</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="72" top="0" width="66" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">m</e>
          <e type="operand">1</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="153" top="0" width="73" height="30" color="#000000" fontSize="10">
      <math optimize="2" fractionType="fraction">
        <input>
          <e type="operand">a.0</e>
          <e type="operand">90</e>
          <e type="operand" style="unit">°</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="234" top="0" width="85" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">v.0</e>
          <e type="operand">0</e>
          <e type="operand" style="unit">rad</e>
          <e type="operand" style="unit">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="324" top="0" width="94" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">f</e>
          <e type="operand">0.2</e>
          <e type="operand" style="unit">N</e>
          <e type="operand" style="unit">rad</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="72" top="36" width="85" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t.end</e>
          <e type="operand">30</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="45" width="62" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">N</e>
          <e type="operand">500</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="72" width="515" height="90" color="#000000" bgColor="#ffffff" fontSize="10">
      <mathcadblock width="505" height="82" seqop="sys">
        <input>
          <e type="operand">M</e>
          <e type="operand">t</e>
          <e type="function" args="1">a</e>
          <e type="operand">t.end</e>
          <e type="operand">N</e>
          <e type="function" args="3">rkfixed</e>
          <e type="operator" args="2">:</e>
        </input>
      </mathcadblock>
    </region>
    <region left="27" top="81" width="426" height="40" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">m</e>
          <e type="operand">L</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t</e>
          <e type="function" args="1">a''</e>
          <e type="operator" args="2">*</e>
          <e type="operand">m</e>
          <e type="operand" style="unit">g.e</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t</e>
          <e type="function" args="1">a</e>
          <e type="function" args="1">sin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">f</e>
          <e type="operand">t</e>
          <e type="function" args="1">a'</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t</e>
          <e type="function" args="1">a'</e>
          <e type="function" args="1">sign</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">≡</e>
        </input>
      </math>
    </region>
    <region left="27" top="117" width="88" height="31" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">0</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">a</e>
          <e type="operand">a.0</e>
          <e type="operator" args="2">≡</e>
        </input>
      </math>
    </region>
    <region left="135" top="117" width="96" height="31" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">0</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">a'</e>
          <e type="operand">v.0</e>
          <e type="operator" args="2">≡</e>
        </input>
      </math>
    </region>
    <region left="0" top="189" width="107" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">T</e>
          <e type="operand">M</e>
          <e type="operand">1</e>
          <e type="function" args="2">col</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="144" top="189" width="107" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">A</e>
          <e type="operand">M</e>
          <e type="operand">2</e>
          <e type="function" args="2">col</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="288" top="189" width="107" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">V</e>
          <e type="operand">M</e>
          <e type="operand">3</e>
          <e type="function" args="2">col</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="225" width="89" height="33" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">T</e>
          <e type="operand">N</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="2">el</e>
        </input>
        <result action="numeric">
          <e type="operand">30</e>
        </result>
      </math>
    </region>
    <region left="99" top="225" width="94" height="23" color="#000000" fontSize="10">
      <text lang="rus" fontFamily="Arial" fontSize="10">
        <content>
          <p>Must be 30 s!</p>
        </content>
      </text>
    </region>
    <region left="297" top="252" width="140" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">V</e>
          <e type="operand">M</e>
          <e type="operand">3</e>
          <e type="function" args="2">col</e>
          <e type="operand" style="unit">rad</e>
          <e type="operand" style="unit">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="0" top="261" width="120" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">T</e>
          <e type="operand">M</e>
          <e type="operand">1</e>
          <e type="function" args="2">col</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="144" top="261" width="136" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">A</e>
          <e type="operand">M</e>
          <e type="operand">2</e>
          <e type="function" args="2">col</e>
          <e type="operand" style="unit">rad</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="297" width="274" height="208" color="#000000" fontSize="10">
      <xyplot animFrameRate="20" animPlaybackMode="RepeatIndefinitely" width="264" height="200" points="100" name="XYPlot" keepAspectRatio="false">
        <chartstyle usedefault="false" backcolor="White" bordercolor="Black" />
        <grid gridcolor="LightGray" gridpattern="Dash" gridthickness="1" isxgrid="true" isygrid="true" isy2grid="false" />
        <xaxes xmin="-2.127464" xmax="2.127464" xtick="2" visible="True" decimalplaces="3" numberformat="General" />
        <yaxes ymin="-5.706305" ymax="5.706305" ytick="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="Angle (rad)" ylabel="Velosity (rad/s)" 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" fillmode="Auto" filltotrace="-1" 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">A</e>
          <e type="operand">V</e>
          <e type="function" args="2">augment</e>
        </input>
      </xyplot>
    </region>
    <region left="18" top="540" width="136" height="49" color="#000000" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">KE</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">L</e>
          <e type="operand">V</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">vectorize</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="189" top="549" width="176" height="38" color="#000000" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">PE</e>
          <e type="operand">m</e>
          <e type="operand" style="unit">g.e</e>
          <e type="operator" args="2">*</e>
          <e type="operand">L</e>
          <e type="operand">A</e>
          <e type="function" args="1">cos</e>
          <e type="function" args="1">vectorize</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="594" width="462" height="208" color="#000000" fontSize="10">
      <xyplot animFrameRate="20" animPlaybackMode="RepeatIndefinitely" width="452" height="200" points="100" name="XYPlot" keepAspectRatio="false">
        <chartstyle usedefault="false" backcolor="White" bordercolor="Black" />
        <grid gridcolor="LightGray" gridpattern="Dash" gridthickness="1" isxgrid="true" isygrid="true" isy2grid="false" />
        <xaxes xmin="-0.4333356" xmax="9.566677" xtick="4" visible="True" decimalplaces="3" numberformat="General" />
        <yaxes ymin="-10.33172" ymax="11.47812" ytick="10" 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="time (s)" ylabel="Energy (J)" 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" fillmode="Auto" filltotrace="-1" filled="false" hatched="false" fillcolor="64, 0, 0, 255" hatchstyle="Percent20" symbolantialias="true" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
          <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" lineantialias="true" linecolor="Red" linethickness="1" linepattern="Solid" fillmode="Auto" filltotrace="-1" filled="false" hatched="false" fillcolor="64, 255, 0, 0" hatchstyle="Percent20" symbolantialias="true" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
          <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" lineantialias="true" linecolor="Green" linethickness="1" linepattern="Solid" fillmode="Auto" filltotrace="-1" filled="false" hatched="false" fillcolor="64, 0, 128, 0" hatchstyle="Percent20" symbolantialias="true" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
        </traces>
        <input>
          <e type="operand">T</e>
          <e type="operand">KE</e>
          <e type="function" args="2">augment</e>
          <e type="operand">T</e>
          <e type="operand">PE</e>
          <e type="function" args="2">augment</e>
          <e type="operand">T</e>
          <e type="operand">KE</e>
          <e type="operand">PE</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="2">augment</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">sys</e>
        </input>
      </xyplot>
    </region>
  </regions>
</worksheet>