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 \(F_h\) be the horizontal force of the table on one of the cylinders and \(F_n\) be the normal force. When \(F_h\) is a minimum, what is the ratio \(F_h/F_n\)?

Note:

The z-axis is vertical, x and y-axis are along the table. The angle \(\theta\) shown in the diagram is \(90^\circ\).

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