Stability – I : Chapter 6

7. In a vessel of 9009 tones displacement, KG 8.7m, how many tonnes of cargo can be loaded on the upper deck (KG 15m ) so that the final KG would be comes 9m.

Solution:-

Given:-
Weight = 9009 t,
Original KG =8.7m,

Let cargo loaded be   X   tonnes
Final KG =9m

Ship’s weight	KG	VM
9009 t	8.7m	94500tm
(+) X t (load)	15m	(+) (15 X) tm

Final W = (9009 + X) t                 Final VM =(78378.3 + 15X) tm

We know that:

Final KG        =        (Final VM / Final Weight)
Final  KG     = (78378.3 +15X ) /(9009 + X)
9.0         = (78378.3 + 15X)/ (9009+X)
9 x (9009+X)  = (78378.3 + 15X)
(81081 + 9X) =   (15X  + 78378.3)
Hence, 6X    = 78378 .3 – 81081
6X   = 2702.7t
X  = 450.45 t