Olympiad Mechanics JK Prob 1

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An end of a light wire rod is bent into a hoop of radius r. The straight part of the rod has length l; a ball of mass M is attached to the other end of the rod. The pendulum thus formed is hung by the hoop onto a revolving shaft. The coefficient of friction between the shaft and the hoop is mu. Find the equilibrium angle between the rod and the vertical.


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