AND VTEEATTOX OF SHAFTS. 
313 
Pulleys I. and 11. 
Conditions. 
Number 
of 
experi¬ 
ment. 
Date. 
Pulley I. 
Pulley 11. 
Observed 
sj)ecd. 
Calculated 
speed for 
shaft 
only. 
Calculated 
speed for 
Pulley I. 
only. 
Calculated 
speed for 
Pulley II. 
only. 
BesnUing 
calmlated 
Per¬ 
centage 
in 
inches. 
in 
inches. 
in 
inches. 
cC 
in 
inches. 
sgyeed. 
error. 
69 
1892. 
Nov. 12 
1-00 
31-00 
31-00 
1-00 
1118 
1121 
13537 
10355 
nil 
+ -6 
70 
2-91 
29-10 
31-00 
1-00 
1099 
1121 
4621 
10355 
1083 
-M-4 
71 
4-00 
28-00 
31-00 
1-00 
1072 
1121 
3563 
10355 
1063 
+ -8 
72 
5-33 
26-66 
31-00 
1-00 
1033 
1121 
2705 
10355 
1030 
+ -3 
73 
Nov. 14 
10-66 
21-33 
31-00 
1-00 
955 
1121 
1683 
10355 
929 
+ 2-7 
74 
16-00 
16-00 
31-00 
1-00 
896 
1121 
1495 
10355 
893 
+ 
75 
21-33 
10-66 
31-00 
1-00 
947 
1121 
1683 
10355 
929 
+ 1-9 
76 
26-66 
5-33 
31-00 
1-00 
1047 
1121 
2705 
10355 
10.30 
+ 1-6 
77 
Nov. 16 
28-00 
4-00 
31-00 
1-00 
1067 
1121 
3563 
10355 
1064 
+ -3. 
78 
Nov. 16 
28-00 
4-00 
-29-10 
2-91 
1033 
1121 
3563 
3116 
1012 
+ 2-0 
79 
21-33 
10-66 
29-10 
-2-91 
920 
1121 
1683 
3116 
894 
+ 2-8 
80 
1600 
16-00 
-29-10 
2-91 
885 
1121 
1495 
3116 
862 
+ 2-6 
81 
Nov. 17 
10-66 
21-33 
29-10 
2-91 
925 
1121 
1683 
3116 
894 
+ .3-3 
82 
n 
r)-.33 
26-66 
29-10 
2-91 
1030 
1121 
2705 
3116 
983 
+ 4-6 
These experiments show that the method adopted in calculating the final resulting 
speed gives results very little difterent from the observed results. In all cases the 
percentage error is positive, so that the resulting speed, as calculated above, is slightly 
below the actual speed, and, consequently, errs on the right side. 
Case XL 
31. Shaft resting on two supports, I feet apart, and overhanging on one 
SIDE C FEET, LOADED WHTII A PULLEY, WEIGHT W AND MOMENT OF INERTIA I' 
AT ITS END. 
Thus- 
Fig. 14. 
I - 
c —^ 
A 
B 
1 
\C 
Take the origin at B. Then from A to B we have {§ 21, p. 304, equation 2) 
MDCCCXCTV.—A. 
:</ = y + I a;- + Ca; + D, 
2 s 
