A long horizontal rod has a bead which c...

A long horizontal rod has a bead which can slide ale its length and initially placed at a distance `L` from one end `A` of the rod. The rod is set in angular motion about `A` with constant angular acceleration `alpha`. If the coefficient of friction between the rod and the bead is `mu`, and gray is neglected, then the time after which the bead starts slipping is

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