Bars and rod

Classical Mechanics Level pending

Bars and rod

Two cylindrical horizontal bars are fixed one above the other; the distance between the axes of the bars is 4 d \ 4d , where d \ d is the diameter of the rod. Between the bars, a cylindrical rod of diameter d \ d 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 µ = 1 / 2 \ µ = 1/2 . If the rod is long enough, it will remain in equilibrium in such a position. What is the minimal length L \ L of the rod required for such an equilibrium?

You can express your answer in the form L = x D \ L=xD , where x \ x is a positive, real number. Find x \ x .


The answer is 14.96.

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