Area Moment of Inertia & Stability of Floating Bodies

AI Thread Summary
The discussion focuses on calculating the area moment of inertia for a ship with specific dimensions and cargo weight. The ship's mass is 5000 tonnes, with two cargo containers weighing 73,370 kg each, and it has a rectangular waterline area of 94.85m in length and 12m in width. The user is trying to determine the length of BG and G'B' using the equation GM = I/V - BG, but is confused about which values to assign to b and h in the moment of inertia formula I = bh^3/12. Clarification on these parameters is needed to proceed with the calculations. Understanding the correct application of these values is crucial for solving the problem accurately.
lirexin
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Just totally confused which value to use to get the area moments of inertia with this question

The ship was initially looks like this the mass of the ship is 5000 tonnes two heavy cargocontainers each of mass 73,370 Kg each
assume that the ship has a rectangular waterline area, with length 94.85m and width 12m

123123.jpg


12.jpg


The question is asking the length of BG and hence find the length of G'B'
Ive been told that GM=47.7028(m) GG'=2.5(m) h=4.41154(m)(sink height) the angle is 3(degree)
What I've done was using the equation GM = I/V-BG then BG = I/V-GM
For the I/V part I = bh^3/12 from the textbook the problem is which value is b and which value is h?
 
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