EXERCISES 535

31. A ship in light condition has displacement of 2000 tons, centre
of gravity being 17 feet above keel. She loads: —

(a) 5000 tons cargo C of G. 16 feet above keel.
(&) 300 „ „ 10

(c) 100 „ „ 20

Find the height of the centre of gravity of loaded ship.
Answer. — New K G 16-1 feet.

32. A vessel displaces 4000 tons. Initial transverse me tacentric height
1-2 feet. A weight of 40 tons deck cargo is shifted to the lower hold a
distance of 20 ieet vertically. Find the final metacentric height.

Answer — New G M 1 -4 feet.

33. A vessel in light condition displaces 1800 tons and the C of G. is
10 feet above the keel. She loads 3400 tons of cargo 9 feet above keel,
and 400 tons bunkers 16 feet above keel. The height of the transverse
metacentre in the loaded condition is 12 feet above the keel. Find the
metacentric height.

Answer.— -New G M 2 ft. 2-2 ins.

34. A box-shaped vessel 600 feet long is floating at a mean draught of
10 feet forward and aft. If the moment to change trim 1 inch is 240
foot-tons, find the change of trim caused by shiftingg 20 tons aft through
48 feet.

Answer. — 9 ft. 10 ins. forward, 10 ft. 2 ins. aft.

35. Ship 2000 tons displacement. A weight of 10 tons is shifted
20 ft, transversely across the deck. Find the shift of the centre of
gravity. If the vessel were upright before shifting the weight and she
heeled 8°, find, the initial transverse metacentric height.

Answer. —6 (?1=0-1 ft. G M=0-7 ft.

36. A box-shaped vessel floating upright, at 7 feet draught is 180 ft.
long, 20 ft, wide, 10 ft. deep, and has no G M. Find the G M when a
weight of 40 tons is shifted from the deck to the bottom of the vessel.

Answer.— GG^O-55 ft. <?M=0-55 ft.

37. Ship 1500 tons is floating at 12 ft. draught. A weight of 25
tons is moved from the lower hold port side to the 'tween deck starboard
side through a distance of 55 ft. Find the shift of G G.
Answer, — G G^.^ll ins,