Fluids with Rotational Equllibrium...

A uniform rod $AB$ , $4 m$ long and weighing $12 kg$ , is supported at end $A$ (with a string), and a $6 kg$ lead weight at $B$ (Not shown in the figure). The rod floats as shown in the figure with one-half of its length submerged. The buoyant force on the lead mass is negligible as it is of negligible volume. If Tension in string is $T$ (in $Newton$ ) and total volume of rod is $V$ (in $m^3$ ).

Find $T+V$ (Numerical values)

$Details And Assumptions$

Take $g = 10 m/s^2$ Density of liquid = $2 kg/m^3$