CARGO AND  STABILITY	517
mi	^    , ^    i         »r      moment     78,000      , K .
The new C. of G. above K = - — — = —7: — = 15 feet
weight         5200
K G1 after loading is 15 feet
&M	„	17    „

The figure indicates the positions of the weights and of G and M
relatively to the keel.
In order to associate the idea of the system of cargo weights with
our previous examples of simple systems of moments on a wooden
rod, we could turn the ship, as illustrated, on her side and by conceiving
K L to represent a horizontal rod with the weights suspended at their
respective distances from K the new centre of gravity can be determined
in exactly the same way by summnig up the moments about K.
Example. — The displacement of a ship in light condition is 3250
tons, centre of gravity 20 feet above keel, metacentre 22 feet above keel.
Cargo is then loaded as follows: —
Weight of cargo— Tons 1000 1500 1250 1100 900 600 400
V.C.G. above keel— Feet 24 22 21 19 23 25 18
Find the new metacentric height assuming K M
Tcns      to be the same.
,25
.IPP9
900
A5 99
.!?.?.£
.3.250
M	23
--20
Arrange the work as fallows.

Weights 	V.C.G. 	Moments 	
400 tons 	18 feet , 	7200 	
1100 „ 	19 „ 	20,900 	
G 3250 „ 	20 „ 	' 65,000 	
1250 „ 	21 „ 	26,250 	
1500 „ 	22 ^ 	33,000 	
900 „ 	23 „ 	20,700 	
1000 „ 	24 „ 	24,000 	
600 „ 	25 „ 	15,000 	
jtpo.
i el .A9.9	10,000	212,050
K <P = momeut = 212>Q5Q ^ 21.o fcct
weight       10,000
_^	.ff 6s1   when loaded=21-2 feet
K	KM	=22-0 feet
Fig. 35.	#* M	= 0-8 feet=9-6 inches