Because of surface tension, it is possible, with care, to support an object heavier than water on the water surface as shown in Fig. P7.14. The maximum thickness, \(h\), of a square of material that can be supported is assumed to be a function of the length of the side of the square, \(\ell\), the density of the material, \(ho\), the acceleration of gravity, \(g\), and the surface tension of the liquid, \(\sigma\). Develop a suitable set of dimensionless parameters for this problem.

Figure P7.14