Bars and rod
Two cylindrical horizontal bars are fixed one above the other; the distance between the axes of the bars is , where is the diameter of the rod. Between the bars, a cylindrical rod of diameter is placed as shown in Figure (this is a vertical cross-section of the system). The coefficient of friction between the rod and the bars is . If the rod is long enough, it will remain in equilibrium in such a position. What is the minimal length of the rod required for such an equilibrium?
You can express your answer in the form , where is a positive, real number. Find .
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