Consider two cylinders that start down identical inclines from rest except that one is frictionless. Thus one
Question:
Consider two cylinders that start down identical inclines from rest except that one is frictionless.
Thus one cylinder rolls without slipping, while the other slides frictionlessly without rolling. They both travel a short distance at the bottom and then start up another incline.
(a) Show that they both reach the same height on the other incline, and that this height is equal to their original height.
(b) Find the ratio of the time the rolling cylinder takes to reach the height on the second incline to the time the sliding cylinder takes to reach the height on the second incline.
(c) Explain why the time for the rolling motion is greater than that for the sliding motion.
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a Show that they both reach the same height on the other incline and that this height is equal to their original height Conservation of energy Since there is no friction the only force acting on the c...View the full answer
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