Motion of a Bead on a Spoke

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This Demonstration shows the motion of a bead moving at constant velocity on a spoke of a wheel. The wheel rotates with uniform angular velocity radians per second about an axis fixed in space.

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Polar coordinates are used to describe the motion of the bead. The position vector in polar coordinates is .

Let the vectors and be orthogonal unit vectors given in Cartesian coordinates by

,

.

Then the velocity and acceleration of the bead in polar coordinates are given by

,

.

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Contributed by: Diego Ramos  (December 2020)
(Universidad del Valle)
Open content licensed under CC BY-NC-SA


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