ANSWERS 539 
10. d,=10; Dyg=24; d,=16; D,=13} ; d,=26§ ; 2=170°8 ; all in inches, 
21. 10°25; 12°34; 14°25; all in inches, 
12. Band d, 14°20; C ande, 12°17; D and d, 10°04; all in inches. 
13. 183°S2 lbs, ; 91°91 Ibs, 14, 123°75 lbs. ; 68°75 lbs, 
15. (1) H=14°91; (2) H=13°37, 16. (1) H=58°47; (2) H=53°95, 
17. (1) 6=5°13 inches ; (2) b=5°43 inches, 
18. (1) d= 16°76 inches ; (2) b= 18°68 inches, 
19. (1) f=302 Ibs. per square inch ; (2) f=344 lbs. per square inch. 
20. (1) V=2514 ft. per minute ; (2) V=2710 ft. per minute. 21. 80°9, 
22. Maximum horse-power= 20°56, when v= 96°91 feet per second. 
25. 19°15 ; 42°61 Ibs,; 4°29, 26. 125°5. 27. 14 feet Ginches, ~* 
28. Velocity, 170 ; horse-power, 167. 
29. Maximum horse-power= 200, when v=176, 30. 1°5; 7°3. 
XXIII. p. 387. 
1. 23°75 inches ; 0°7854 inch, 2. 0°9425p’; 1°2566p’. 
3. 4° 5; (1) 7and 9; (2) 29 and 35, 
XXIV. pp. 393-396. 
1. 14°8 inches, 59-2 inches. 2. 20, 90, 39°39. 3. 450; 1003°5 lbs. 4 16, 
5. 60. 6. (a) 1423; (5) 19°8 seconds; (ce) 1465 lbs. 7. 1°573. 
8. (1) 0; (2) +49; (3) —51. 
§. n revolutions ver minute anti clockwise ; straight line through centre of A ; 
ellipse, centre at centre of A, major axis equal 3 times distance between centres 
of A and ©, minor axis equal } major axis. 10. 50 in same direction. 
11. (1) +95 (2) —25°2. 12. 62°95 inches. 13. 44. 
14. 74 in same direction. 15. —176. 16. 30 to 1. 
17. 62 and 29}} revolutions per minute in same direction as arm ; 206°45 lbs, 
18. +70. 19. (1) 0; (2) +80; (3) —48. 
20. 240 revolutions per minute in same direction as E, 
21. (1) +21; (2) —22°8. 
XXV. pp. 411-413. 
6. (a) 23°56; (b) 35°34, 
XXVIa. pp. 417-419. 
1. 75 Ibs. ; 126° 52’. 2. 861°5 Ibs. ; 108° 26’ to first radius ; 25:3 Ibs, 
3. 36°1 Ibs,, 15 lbs. 4. 9°386, 4°614; 102°8, 
5. 572°2 lbs., 381°4 lbs.; 20 lbs. 6. 24°64 lbs. on A, 20°36 lbs. on B. 
7. 6415 lbs. on the bearing nearest to the crank, and 1480 lbs, on the other; 
541 lbs. in the plane nearest to the crank, and 283°4 lbs, in the other. 
8. 201 Ibs. each; left-hand balance weight 157° 37’ in advance of left-hand 
crank; right-hand balance weight 202° 23’ in advance of right-hand crank. 
9. Forces on bearings.—Left-hand, 50:2 Ibs. ; right-hand, 120-5 lbs. Balance 
weights.— Left-hand, 12-6 lbs. ; right-hand, 38°1 lbs. If the 10 lbs. mass leads, 
then the 12-6 lbs. mass is 159° 58’ ahead, and the 38-1 lbs, mass is 127° 20° 
ahead of the 10 Ibs. mass. 
10. 37°8 lbs. in plane P at 227° 5’; 34-5 Ibs. in plane Q at 34° 1’. 
11. «=83°67 lbs. ; angle between D and A, 37° 51’. 
XXVIb. pp. 428-430. 
1. Zinch; 4087 Ibs. 2. 0-004 inch. 8. 382 Ibs. ; 2554 Ibs. ; 1264 Ibs. 
4. 787 lbs. ; 0,=0,=23° 12’ (see Fig. 692, p. 423°. 
5. 311°5 lbs. ; 0, =0,= 22° 23’ (see Fig. 692, p. 423). 
6. 333 lbs. ; 0, =0,=5° 43’ (see Fig. 693, p. 424). 
7. 162 Ibs. in each driving wheel, and 68 lbs. in each trailing wheel. 
8. 366 lbs. in each driving wheel, and 108 lbs, in each trailing wheel. 
9. 2-46 tons. 10, 56 tons, 11. 360 lbs. and 240 lbs. 
