Bouncing Ball in a Closed Room
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A perfectly elastic ball bounces between the rigid walls and floor of a closed rectangular room.[more]
You can drag the locator to determine the initial position, initial speed, and direction of the ball. You can also vary the air drag coefficient. The resulting motion displays a variety of periodic and chaotic trajectories.
With only gravity and air drag acting on the ball, the equations of motion are:
where is the position of the ball at time .
Here is the air drag coefficient and is the acceleration due to gravity.[less]
Contributed by: Erik Mahieu (February 2015)
Open content licensed under CC BY-NC-SA
Snapshots 1, 2, and 3 are examples of periodic orbits.