009C Sample Final 3, Problem 9

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

Foundations:

Solution:

Step 1:

Step 2:

Final Answer:

Return to Sample Exam