Description : A wheel is going to start at the
origin (with a point P on the top of the wheel if theta=0 when t=0). It
can have an intial angular position/velocity/acceleration (note, this
would the same as saying the center of the wheel had an initial linear
position/velocity/acceleration). We confine ourselves to a quadratic
relationship between the angle theta and time :
theta
= theta_{0} + omega_{0}*t + ½*alpha*t^{2}
The angle theta is positive in a clockwise sense. The angle is
measured out from the center of the circle, and points to a point P on the
circle (indicated in the animation). The vectors coming out of the red
point P are the blue instantaneous velocity vector (scaled down by a
factor of 4), and the green instantaneous acceleration vector (scaled down
by a factor of 20). You can change the various values below, and then
click the Update Information button, and then the PLAY button to run the
animation.
Initial conditions : |
(The animation may move off screen, but the graph will go until you stop it.) |
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