Concept explainers
To determine: The parametric equations for the motion of a point on the interior of a wheel radius a as the wheel rolls along the horizontal line without slipping.
Answer to Problem 41E
The required parametric equations of a Curtate Cycloid are
Explanation of Solution
Consider the center of the wheel is at
Also, the coordinates of the point is:
To write the expression as
So,
Substitute
The above equations are the parametric equations of a Curtate Cycloid.
Hence, the required parametric equations of a Curtate Cycloid are
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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