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