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File:  [LON-CAPA] / loncom / homework / templates / functionplotvector.problem
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Wed Feb 29 01:24:50 2012 UTC (12 years, 10 months ago) by www
Branches: MAIN
CVS tags: version_2_12_X, version_2_11_X, version_2_11_5_msu, version_2_11_5, version_2_11_4_uiuc, version_2_11_4_msu, version_2_11_4, version_2_11_3_uiuc, version_2_11_3_msu, version_2_11_3, version_2_11_2_uiuc, version_2_11_2_msu, version_2_11_2_educog, version_2_11_2, version_2_11_1, version_2_11_0_RC3, version_2_11_0_RC2, version_2_11_0_RC1, version_2_11_0, loncapaMITrelate_1, HEAD
Make it so the components of the sum vector can be shown

<problem>
<script type="loncapa/perl">$slope=&random(0.5,0.8,0.1);
$function="2+$slope*x";
$massx=&random(3.5,6.5,0.1);
$massy=2.1+$slope*$massx;
$angle=180.*atan($slope)/$pi;
$perp=$angle+90.;</script>
<startouttext />
A mass is sliding down the indicated incline with a constant velocity. Construct the free body diagram, making sure the forces are approximately proportionally correct. Leave unused vectors unattached.<br />
<i>You can use the red-colored vector sum tool to help you construct your diagram; check the boxes for the vectors you want included in the sum. The tool is just there to help you, its settings are not graded.</i>
<br />
<endouttext />
<functionplotresponse xaxisvisible="no" xlabel="x" gridvisible="yes" ylabel="y" id="11" xmax="10" yaxisvisible="no" xmin="0" ymin="0" ymax="10" width="450" height="450">
<functionplotelements>

<backgroundplot function="$function" fixed="yes" />
<plotobject label="Mass" x="$massx" y="$massy" />
<plotvector label="Gravity" tailx="7" taily="1" tipx="8" tipy="1" />
<plotvector label="KineticFriction" tailx="7" taily="2" tipx="8" tipy="2" />
<plotvector label="StaticFriction" tailx="7" taily="3" tipx="8" tipy="3" />
<plotvector label="NormalForce" tailx="7" taily="4" tipx="8" tipy="4" />
<drawvectorsum label="Sum" tailx="$massx" taily="$massy" showvalue="no" vectorlist="Gravity,KineticFriction,StaticFriction,NormalForce" />
</functionplotelements>
<functionplotruleset>
<functionplotvectorrule index="Grav" vector="Gravity" attachpoint="Mass" angle="270" angleerror="2" />
<functionplotvectorrule index="Norm" vector="NormalForce" attachpoint="Mass" angle="$perp" angleerror="4" />
<functionplotvectorrule index="KFriction" vector="KineticFriction" attachpoint="Mass" angle="$angle" angleerror="3" />
<functionplotvectorrule index="SFriction" vector="StaticFriction" notattachpoint="Mass" />
<functionplotvectorsumrule vectors="Gravity,NormalForce,KineticFriction" length="0" lengtherror="2" index="Total" />
</functionplotruleset>
<hintgroup showoncorrect="no">
    
<hintpart on="Grav">
    <startouttext />Gravity acts on the mass and points straight down.<endouttext />
</hintpart>
<hintpart on="SFriction">
    <startouttext />The mass is sliding.<endouttext />
</hintpart>
<hintpart on="Total">
    <startouttext />What should be the net force on the mass?<endouttext />
</hintpart>
<hintpart on="Norm">
    <startouttext />What should be the direction of the normal force?<endouttext />
</hintpart>

</hintgroup>
</functionplotresponse>
</problem>
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