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 ,25 M__23 --20 Tcns to be the same. Arrange the work as fallows. .IPP9 900 A5 99 .!?.?.£ .3.250 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

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