A long horizontal rod has a bead which can slide along its length, and initially it is at a distance L from the end A of the rod. The rod is set in angular motion about A with constant angular acceleration α in a gravity free space. If the coefficient of friction between the rod and the bead is μ , then the time after which the bead starts slipping is

Question

A long horizontal rod has a bead which can slide along its length, and initially it is at a distance L from the end A of the rod. The rod is set in angular motion about A with constant angular acceleration α in a gravity free space. If the coefficient of friction between the rod and the bead is μ , then the time after which the bead starts slipping is, μ α, μ α, 1 μ α, infinitesimal

MARKS App · Accepted Answer

N = m α L When the bead starts slipping f max = μ N = m ω 2 L μ m α L = m α t 2 L ⇒ t = μ α

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