A rod is kept making an angle θ with the vertical as shown, there is a small bead of mass m at a distance r from end A. End A of rod is hinged. The rod starts rotating about end A making an angle θ with the vertical with an angular acceleration α and makes a cone. If the coefficient of static friction between the ring and rod is μ, find the time after which ring will start slipping on the rod. (consider the system is placed in gravity free space)
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