# 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 $$F_h$$ and $$F_n$$, respectively, be the horizontal and the normal forces of the table on one of the cylinders. 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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