$*7\mathrm{.}41$ WP $\backslash (\backslash$triangle $\backslash )$ As shown in Fig. $2\mathrm{.}26.$ Fig. P$7\mathrm{.}41,$ and Video V$2\mathrm{.}12,$ 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, $\backslash ($ C $\backslash ),$ is less than a certain amount, $\backslash ($ H $\backslash ).$ If this distance is greater than $\backslash ($ H $\backslash ),$ the boat will tip over. Assume $\backslash ($ H $\backslash )$ is a function of the boat's width, $\backslash ($ b $\backslash ),$ length, $\backslash (\backslash$ell $\backslash ),$ and draft, $\backslash ($ h $\backslash ).($a$)$ Put this relationship into dimensionless form. $($b$)$ The results of a set of experiments with a model barge with a width of $1\mathrm{.}0$ m are shown in the table. Plot these data in dimensionless form and determine a power$-$law equation relating the dimensionless parameters.