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Conservation of Angular Momentum?

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Sorry about the crude drawing but here's the question. If you have a ball in a hollow pipe, which is being rotated around one of it's ends. Why does the ball leave the pipe?

I would think that the force the pipe applied to the point of contact would be in the tangent to the circle i.e. not in the direction of the length of pipe. The only other reason I can think of would be conservation of angular momentum, before the rotation the ball has an angular momentum of zero. So during the rotation the ball will increase it's radius to infinity in attempt to bring it's angular moment back to zero.

Am I anywhere close to the right answer?

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