Difference between revisions of "009C Sample Final 3, Problem 9"

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<span class="exam">A wheel of radius 1 rolls along a straight line, say the &nbsp;<math>x</math>-axis. A point &nbsp;<math style="vertical-align: 0px">P</math>&nbsp; is located halfway between the center of the wheel and the rim. As the wheel rolls, &nbsp;<math style="vertical-align: 0px">P</math>&nbsp; traces a curve. Find parametric equations for the curve.
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<span class="exam">A wheel of radius 1 rolls along a straight line, say the &nbsp;<math>x</math>-axis. A point &nbsp;<math style="vertical-align: 0px">P</math>&nbsp; is located halfway between the center of the wheel and the rim; assume &nbsp;<math style="vertical-align: 0px">P</math>&nbsp; starts at the point &nbsp;<math style="vertical-align: -15px">\bigg(0,\frac{1}{2}\bigg).</math>&nbsp; As the wheel rolls, &nbsp;<math style="vertical-align: 0px">P</math>&nbsp; traces a curve. Find parametric equations for the curve.
  
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!Foundations: &nbsp;
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[[009C Sample Final 3, Problem 9 Solution|'''<u>Solution</u>''']]
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'''Solution:'''
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[[009C Sample Final 3, Problem 9 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
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!Step 1: &nbsp;
 
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!Step 2: &nbsp;
 
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!Final Answer: &nbsp;
 
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[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]
 
[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 16:35, 3 December 2017

A wheel of radius 1 rolls along a straight line, say the  -axis. A point    is located halfway between the center of the wheel and the rim; assume    starts at the point    As the wheel rolls,    traces a curve. Find parametric equations for the curve.


Solution


Detailed Solution


Return to Sample Exam