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Motion of a Rolling Disk Driven by a Rod and Spring

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A rod of mass is attached to a spring of stiffness . The spring is attached to a wall and the rod rests on a disk of the same mass . When the spring is stretched from its original length and released, the rod moves as the disk rolls without slipping between the ground and the rod.

Contributed by: Sarah Lichtblau (March 2011)
Open content licensed under CC BY-NC-SA

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Developed from the teaching materials of Thomas Peacock and David Gossard for Course 2.003 in the Department of Mechanical Engineering at MIT.

The equation of motion of the rod is .

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