Problem

As shown in Fig. 2.16, Fig. P7.25, and Video V2.10, a rectangular barge floats in a stab...

As shown in Fig. 2.16, Fig. P7.25, and Video V2.10, a rectangular barge floats in a stable configuration provided the distance between the center of gravity, CG, of the object (boat and load) and the center of buoyancy, C, is less than a certain amount, H. If this distance is greater than H, the boat will tip over. Assume H is a function of the boat’s width, b, length, l, and draft, h. (a) Put this relationship into dimensionless form. (b) The results of a set of experiments with a model barge with a width of 1.0 m are shown in the table. Plot these data in dimensionless form and determine a power-law equation relating the dimensionless parameters.

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