Motion of a Bead on a Spoke
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.[more]
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