ANSWERS 531 
IIIb. pp. 32-33. 
1. 4489 feet ; 209°5 lbs, 2. 16°56 feet. 3. 0°863 lb, 
4 37°51; 261°24. 5. 44465 feet. 
6. 59°86 feet ; result independent of diameter of wheel. 
7. 7,339,185 in lb, and foot units; 1250 ft.-lbs. 
8. 54,000 ft.-lbs ; 118°6 tons, 9. 260,741 ft.-lbs. ; 237. 
10. 365,783 ft.-lbs. ; increases at the rate of 3°087 revolutions per minute per 
minute. 11. 173°5 feet. 12. 78°22; 0°039. ’ 
oe 13. 1,171,780 ft.-lbs. 14, 8°7 feet per second. 
; 15. (a) 6°77; (6) 11°43; (c) 2236 in lb, and inch units, 16. 778 feet. 
17. 17°3 B.Th.U. 18. 13°6 per cent. 19. 500°87; 171°73 tons, 
20. 508°8 lbs. 
= —. 
- 
IV. p. 41. 
1. Magnitude, 1-99; line of action inclined at 23° 57’ to the horizontal. 
2. Magnitude of resultant, 3°18; line of action inclined at 38° 56’ to the 
horizontal ; horizontal force, 2°48; vertical force, 2. 
8. Magnitude, 50; line of action, 1°2 inches from the force 20 and 0°8 inch 
from the force 30. 
4. Magnitude, 10; line of. action, 6 inches from the force 20 and 4 inches 
from the force 30. 
; 5. Magnitude, 30; line of action, 3°83 inches from A and 0°67 inch from B, 
’ 6. Magnitude, 2; line of action midway between A and B. 
7. P, 214; Q, 23%. 8. R,, 3x4; Ry, dye. 
9. Magnitude, 4°17; line of action inclined at 78° 17’ to AB, and cuts the 
latter at a point 1°4 inches to the right of A. 
10. Magnitude of force at A, 6°32; magnitude of force at B, 4°99; lines of 
action inclined at 75° 8’ to AB. 
11. Magnitude, 3°66; line of action inclined at 82° 42’ to AB, and cuts AB at 
a point 0°76 inch to the right of A. 
12. P, 4°14; Q,1°8; line of action of Q 1°41 inches above A. 
Va. pp. 49-50. 
1. 11°25. 1a. 28°75. 1b. Magnitude of P, 20 lbs.; line of action is perpen- 
dicular to BC, and cuts AC at a point # inch from A. 
2. Within the rectangle ABDE, 1°81 inches from AB, and 1°30 inches from AE. 
3. Within the triangle ABC, 1:06 inches from AC, and 0°69 inch from BC, 
3a. Within the triangle ABC, 0°96 inch from AC, and’0°61 inch from BC, 
4. The string cuts CD produced 2°65 inches from C. 
5. 0°89 inch below AB, and 0°39 inch to the left of AC. 
F 6. 0-87 inch above AB, and 0°63 inch to the right of AC, 
7. 9°01 feet to the right of A. 
8. 0°89 inch below AB, and 1°13 inches to the right of AC, 
9. 0°85 inch above AB, and 2°58 inches to the right of AC. 
10. 1°23 inches from OA, and 1°31 inches from OB. 
11. 1°61 inches below AB, and 0°98 inch to the right of AC. 
12. 1°90 inches below AB, and 1°78 inches to the right of CE. 
13. 17°6; 177,408 ; centre of pressure, 25 feet from ground. 
Vb. pp. 61-63. 
1. 265 in inch and Ib, units. 2. 2°146 in inch units, 
8. (a) 56°30, (b) 9°71, both in inch units. 
4. 549°1 and 364°5, both in inch units, 
5. 7=5°34 inches; I=1385 in inch units. 6. 3°61. 7. 15-4. 
8. 6°34, 9. 5°96 and 5°24, 10. 0-49. 11. 0°568. 13. 9°65 inches. 
14. (1) 8°9 square inches; (2) 3°1 inches; (3) 54°5. These answers are the 
means of five solutions. 
