1.

A rigid mass less rod of length L is rotating in a vertical plane about a horizontal axis passing through one of its ends. At the other end of the rod there is a mass less metal plate welded to the rod. This plate supports a heavy small bead that can slide on the rod without friction. Just above the bead there is another identical metal plate welded to the rod. The bead remains confined between the plates. The gap between the plates is negligible compared to L. The angular speed of the rod when the bead is at lowest position of the circle is omega=2sqrt(g/L). How many times a clink ofthe bead hitting a metal plate is heard during one full rotation of the rod ?

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