A hallow cylinder is positioned vertically such that its axis is orthagonal to the ground. A small ball is placed inside of the cylinder and made and made to revolve around the inside of the cylinder. Picture a marble whirling around the inside of a coffee can that is sitting in a normal position. The coefficient of static friction between the ball and the cylinder wall is assumed to be infinite, in other words the points of contact of the cylinder and ball have itentical velocities and no slipping occurs provided there is any arbitrary amount of normal force. The question: at what speed, if any, will the ball continue to revolve around the cylinder without spiraling down into it? Keep in mind that the ball has angular momentum parallel to its axis of rotation, and that the ball cannot slip down the sides, it must roll. Keep also in mind that if the angle of the balls axis changes to that of the cylinder then the circle defining the points of contact will no longer be the equator.
2007-08-15
17:48:08
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5 answers
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asked by
damonago45
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