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Homework Statement
The question is regarding the stability of a large barge.
Overall width=4m
Uniform weight per meter length of M= 6327.19kg/m (This empty weight is uniformly distributed along the length of the barge.
Center of gravity of the empty barge is at position G, 2m above the flat bottom of the vessel.
Barge has a rectangular water-line area and the density of seawater is 1025 kg/m^3
Neglect the thickness of the hull.
Determine that the empty barge is not stable.
Homework Equations
GM(bar)=Io/V(submerged)- BG(bar)
GM(bar) is bigger than zero if stable, otherwise not stable.
The Attempt at a Solution
Volume of displaced seawater= hx2xl= 2hl m^3
Thus the weight of the displaced seawater= 6327.19g=ρ(seawater)g(2hl)
From rearranging h= 3.0864/l ... the problem is i don't know how to use the weight per meter length so I am stuck with this unknown l (length of the barge)
I am aware of the fact that i need to find the draft h of the buoy but I am unfamiliar with the term 'weight per meter length' so cannot proceed further unfortunately..
Any help would be greatly appreciated
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