$2.$ Hydrostatics $(16$ Marks$)$

There are two $1$ m $-$cubes rigid boxes that each weigh $500$ kg $.$ They are joined by a $1$ m long rigid bar $($small diameter$),$ connecting the two boxes. The joining bar is out of the water and weighs $100$ kg $.$ The construction is floating in fresh water $($density $\backslash (1000\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}3\backslash )).$

a$)$ What is the draft that the cubes float at$?(3)$

b$)$ What is the still water moment at the center?

c$)$ Sketch the shear force diagram. $(5)$

d$)$ What is the moment where the bar connects to the box? $(3)$