Given a rectangular ship with a length $L=100m,$ width $B=12m,$ draft $T=6m,$ and the vertical

coordinate of the center of gravity $\frac{?}{\text{b}\text{a}\text{r}}(KG)=3\mathrm{.}6m.$ There are two freshwater tanks on each side

of the ship's midship section, with dimensions: length $I=10m,$ width $b=6m,$ and depth $a=$

$4$ m $,$ we consider the tank$\text{'}$s bottom as the bottom of the ship $($Keel$).$ Both tanks are initially

filled full of fresh water. Please find:

$(1)$ the transverse inclination angle of the ship when half of the water in one tank is consumed.

$(2)$ if we consider the free surface effect, what will be the inclination angle?

Given a rectangular ship with a length $L=100m,$ width $B=12m,$ draft $T=6m,$ and the vertical

coordinate of the center of gravity $\frac{?}{\text{b}\text{a}\text{r}}(KG)=3\mathrm{.}6m.$ There are two freshwater tanks on each side

of the ship's midship section, with dimensions: length $I=10m,$ width $b=6m,$ and depth $a=$

$4$ m $,$ we consider the tank$\text{'}$s bottom as the bottom of the ship $($Keel$).$ Both tanks are initially

filled full of fresh water. Please find:

$(1)$ the transverse inclination angle of the ship when half of the water in one tank is consumed.

$(2)$ if we consider the free surface effect, what will be the inclination angle?