If it is in equilibrium,
Fc = m v2/r = m w2 r ( v=w*r )
Fg = Fc i.e. Mg = m w2 r
1. Click the black ball and drag it up and down to change the radius r.
When the radius r is changing,
centripetal force Fc = (rmv)2/(mr3)= L2/(mr3) changes ,too.
If you click the right mouse button and drag it up/down/left/right,
you can rotate the coordinate system.
4. Click trace check box to trace the trajectory,
Press Clean Button to clear the trace.
5. Parameters :
A short white arrow represents the velocity vector v = r w.
w : angular frequency
r : radius
Mg/m: Mg gravitation force for black ball,
m is the mass of red ball.
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Author¡GFu-Kwun Hwang, Dept. of physics, National Taiwan Normal University
Last modified :