438 APPLIED MECHANICS a 
What depth would the ship sink if floating in salt water of specific la in 
when loading ? : 
16. A steamer loading 25 tons to the inch in fresh ‘water dock is thand 
ten days’ voyage, burning 52 tons of coal a day, to have risen 25 inches in 
water. Determine the displacement in tons, taking 35 and : 
36 cubic feet’ per ton as the specific volumes ‘of salt and fresh , 
water respectively. [U.L.] 
17. If a uniform triangular prism floats freely in water with -— 
one edge on the surface (Fig. 714), prove that the opposite face 
must be vertical. {Inst C.E.] 
18. A cube, edges 5 feet long, floats in water with half its 
volume immersed, the bottom face being horizontal, The Fic. m 
centre of gravity of the cube is 20 inches below its geometrical “es 
centre in a vertical line through it. A weight equal to one-fiftieth part of # 
weight of the cube is placed at the middle point of one of.the top edges 
the cube. Determine the angle through which the cube will tilt under 
additional weight. — 
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