Swinging Atwood's Machine

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.

This Demonstration solves a system of two masses hanging from two pulleys, with one of them swinging and the other moving vertically, a system known as a "swinging Atwood's machine." The variables of the system are the angle and , the length of the string of the swinging mass, both depending on the time . Friction is neglected.

Contributed by: Enrique Zeleny (March 2013)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The equations of motion are

,

,

where is the gravitational acceleration.

References

[1] D. Morin, Introduction to Classical Mechanics with Problems and Solutions, New York: Cambridge University Press, 2008 pp. 15.

[2] Wikipedia. "Swinging Atwood's Machine." (Nov 26, 2012) en.wikipedia.org/wiki/Swinging_Atwood%27s_machine.

[3] D. Lu. Trajectories of the Swinging Atwood's Machine. [Video] (Apr 24, 2011) www.youtube.com/watch?v=oVsfdM9sacI.



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