Stacking cylinders

Three cylinders, all of the same mass, are stacked on a table as shown in the figure. There is enough friction between the cylinders and the table such that the cylinders remain at rest.

Let FhF_h and FnF_n, respectively, be the horizontal and the normal forces of the table on one of the cylinders. When FhF_h is a minimum, what is the ratio Fh/FnF_h/F_n?

Note:

The z-axis is vertical, x and y-axis are along the table. The angle θ\theta shown in the diagram is 9090^\circ.

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