Exercise 5: The Cycloid

Instructions:
You may email your notebook as an attachment to me at helmut@math.utep.edu. Do only send unevaluated notebooks, do NOT send evaluated notebooks!
Alternatively you may post your notebook on your webpage and let me know that you have done so.

A chalk mark is put on a bicycle tire. As the bicycle moves along the road, the chalk mark describes a curve known as a cycloid.
Build an animation of the motion of the bicycle wheel and the chalk mark.