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posted by  chupsmusica on 11/6/2009 12:44:10 PM  |  status: Closed  |  Earned Karma: 25

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Course Textbook Chapter Problem Needs by
Calculus Based Physics Physics for Scientists and Engineers (6th) by Tipler, Mosca N/A N/A 11/6/2009 at 9:00:00 PM
Question Details:
As the chief design engineer for a major toy company, you are in charge of designing a "loop-the-loop" toy for youngsters. The idea, as shown in below, is that a ball of mass m and radius r will roll down an inclined track and around the loop without slipping. The ball starts from rest at a height h above the tabletop that supports the whole track. The loop radius is R. Determine the minimum height h, in terms of R and r, for which the ball will remain in contact with the track during the whole of its loop-the-loop journey. (Do not neglect the size of the ball's radius when doing this calculation.)


Hint: Apply conservation of energy to this system to relate the initial height to the speed of the ball at the top of the "loop-to-loop", the radius of the ball, and the radius of the "loop-to-loop". You can then apply Newton's second law to the ball at the top of the loop to eliminate the speed. 
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posted by Nick9 on 11/7/2009 6:23:48 AM  |  status: Live
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