   Chapter 10.2, Problem 73E

Chapter
Section
Textbook Problem

# Curtate Cycloid A wheel of radius a rolls along a line without slipping. The curve traced by a point P that it b units front the center ( b < a ) is called a curtate cycloid (see figure). Use the angle θ to find a set of parametric equations for this curve. To determine
The set of parametric equation for the Curate Cycloid.

Explanation

Given: A wheel of radius a roll without slipping, the curve traced by the point

P is b units from the centre.

Explanation:

As pointed out in the figure, the point P is assumed to be at (x, y).

Now, x co-ordinate is given by OR = OW - RW=aθsin(SPO).

= aθbsin(180;

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