Wednesday, April 27, 2016

Ball on a Merry-Go-Round

Let's say you and your friend were sitting on opposite sides of a merry go round, and you wanted to throw a ball over to him.  Sounds simple right? The answer is no. It will be very hard to throw a ball from one side of a merry go round when it is spinning.

We can model the motion of that ball.  If your friend is sitting on the opposite side of the merry go round, you will try to throw it straight over to him.  If you do try this, however the ball will not make it over to him.  If the merry go round is spinning clockwise, the ball will end up having a curving, and if you are spinning fast enough, you can catch your own ball.

Here is an example for you.  Let's say we have a merry go round with radius of 1.5 meters, and you do 1 rotation every 3-5 seconds.  If you throw the ball directly in front of you with a velocity of 3m/s, you will see the ball have the following path.



As you can see by the animation above, the ball will not reach your friend.  It will actually curve and if you are spinning fast enough, you will catch your own pass.

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