Rolling a Half-Weighted Disk

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This Demonstration considers the motion of a disk of radius , with all of its mass uniformly distributed in the lower half. The black point marks the center of mass. The disk is set in motion with an imposed angular velocity . For , the disk oscillates like a pendulum. For , the disk rolls continuously (neglecting friction).

Contributed by: Miodrag Zuković (December 2020)
(Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia)
Open content licensed under CC BY-NC-SA



The motion is determined by the differential equation

with initial conditions , .

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