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
Snapshots
Details
The motion is determined by the differential equation
with initial conditions 
, 
.
Snapshot 1: 
Snapshot 2: 
Snapshot 3: 
Permanent Citation
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