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How to Pump a Swing

How to Pump a Swing

Authors: Wirkus, Steven,  Richard Rand, and Andy Ruina

College Mathematics Journal, Vol. 29, no. 4, pp. 266-275, 1998.

The authors model a playground swing as a slightly elaborated simple pendulum.  The term pumping is used to describe a repeated change in the rider's position and/or orientation relative to the suspending rope or rod.  Pumping can gradually increase the amplitude of the swinging.

 

 

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