Physics Q1
By admin • Jan 27th, 2008 • Category: Questions
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A uniform thin rod AB of mass 3m and length 2a is free to rotate in a horizontal plane about a smooth fixed vertical axis which passes through the midpoint O of the rod. Two small smooth rings each of mass m are free to slide on the rod. At time t=0 the rings are on the opposite side of O and are at a distance a/2 from O. The rod is then given an initial angular velocity 2Ög/a, the rings being initially at rest relative to the rod.
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Show that when the rings are about to slip off the rod its angular velocity is Ög/a.
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Find the speed of either ring at this instant.
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If the point O is at a height a above the horizontal plane show that the distance between the points where the ring strikes the plane is 2aÖ(6 + 2Ö3).
