10217

# Scrambler Ride

The scrambler (or twist) is a popular amusement park ride. It turns on a dual axis, with each axis a center of an independent rotation. A frame with three arms rotates at constant speed around a central axis. At the end of each arm, a second axis is the center of a rotating cage containing four riders.
In the real world, the cage and the frame rotate in opposite directions, giving the riders the impression of crashing into each other. In this Demonstration, the frame is rotating at a constant angular speed while the cage is only given an initial speed and is left freewheeling the rest of the time.

### DETAILS

The scrambler has two degrees of freedom: the rotation of the frame and the rotation of the cages relative to the frame.
The weights of the four riders determine the position of the center of mass for each cage. This position governs the movement of the cage.
The equations of motion are similar to the ones for the double pendulum: , , where is the length of a frame arm, is the radius of the cage, is the angular position of the arm of the frame, and is the angular position of the cage.
The math and physics of amusement rides can be found in [1]. For a drawing from the original 1940 patent of this ride, see [2].
References
[1] Nathan A. Unterman, Amusement Park Physics: A Teacher's Guide, 2nd ed., Portland, ME: Walch Publishing, 2001. books.google.com/books?id=xT5ooXBhEG4C.
[2] D. Burton. "Richard Harris' 1940 History-Making Patent." www.ride-extravaganza.com/intermediate/scrambler/merry-go-round.

### PERMANENT CITATION

 Share: Embed Interactive Demonstration New! Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details » Download Demonstration as CDF » Download Author Code »(preview ») Files require Wolfram CDF Player or Mathematica.

#### Related Topics

 RELATED RESOURCES
 The #1 tool for creating Demonstrations and anything technical. Explore anything with the first computational knowledge engine. The web's most extensive mathematics resource. An app for every course—right in the palm of your hand. Read our views on math,science, and technology. The format that makes Demonstrations (and any information) easy to share and interact with. Programs & resources for educators, schools & students. Join the initiative for modernizing math education. Walk through homework problems one step at a time, with hints to help along the way. Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet. Knowledge-based programming for everyone.