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05 February 2021

107.NA December 2020 Q.6

February 05, 2021 Posted by AK 8 comments

 A ship 75m long has half-ordinates at the load water-plane commencing from aft as follows: 0, 1, 2, 4, 5, 5, 5, 4, 3, 2 and 0 metres respectively. The spacing between the ®rst three semi-ordinates and the last three semi-ordinates is half of that between the other semi-ordinates. Find the position of the Centre of Flotation relative to amidships.

IF YOU ARE NOTICING ANY ERROR KINDLY COMMENT BELOW

Use +ve the sign for levers and moments AFT of amidships

Use -ve sign for levers and moments FORWARD of amidships

Common interval = 75 / 8 = 9.375 m

Distance of CF from mid ship = (Σ2 / Σ1) x Common interval

                                                 = (-11.5 / 85.5) x 9.375

                                                 = -1.26 m 

 - sign shows CF is forward of midship.

So CF is 1.26 m forward of midship.





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