Cycloid Curves

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

The curve traced out by a point on the rim of a circle rolling along a straight line is called a cycloid. Let the radius of the circle be . Allowing the tracing point to be either within or without the circle at a distance from the center generates "curtate" or "prolate" cycloids, respectively. The variable is , limited to the range [0, 2]. For , the result is a straight horizontal line. For , the curve is a curtate cycloid. For , it is an ordinary cycloid. For , it is a prolate cycloid. Note that is allowable but not used here.

Contributed by: Sean Madsen (March 2011)
Additional contributions by: David von Seggern (U. Nevada, Reno)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send