Example $2.$ A wooden barge of rectangular cross$-$section is $8$ m wide, $4$ m high and $16$ m long It is transporting in sea water $($sp$.$gr$.1\mathrm{.}025)$ a total load M $=75000$Kg including its own eight and cargo. If a weight $3750$ kg $($included in the $75000$ kg above$)$ is shifted a horizontal distance of $2$ m to one side, it will cause the barge to go down by y$=0\mathrm{.}45$ m in the wedge of immersion and also $0\mathrm{.}45$ m in the corresponding wedge of emersion. The barge floats vertically before shiftingof the wedge. compute how far above the water line is the center of gravity of the loaded barge.