AND VIBRATION OF SHAFTS. 
347 
53. Values of Oo in the equation cu = xvlien the puUey lies between 
the outer bearing and the centre of the S 2 Xin, and Cg = distance of 'pulley fro'iii outer 
hearing. 
Values of = c^jl. 
V ery 
small 
1 
1 0 
1 
6 
1 
4 
1 
3* 
1 
2 
Cl 
O 
II 
c> 
e 
CO 
Superior 
limit. 
1-732 
1-735 
1-748 
T800 
1-945 
2-950 
■25 
T677 
1-683 
I-70I 
1-767 
1-930 
2-949 
•50 
1-500 
1-525 
1-569 
I-68I 
1-892 
2-948 
•75 
TI46 
1-275 
1-388 
T578 
1-850 
2-946 
TOO 
0 
1-025 
T230 
1-493 
1-815 
2-944 
1-25 
do. 
-876 
I-I29 
T436 
1-790 
2-942 
1-50 
do. 
-801 
1-069 
1-398 
1-772 
2-940 
1-75 
do. 
-759 
T033 
1-373 
1-760 
2-937 
2-00 
do. 
-735 
l-OIO 
1-357 
1-751 
2-933 
Inferior 
limit 
do. 
•665 
-938 
1-317 
T717 
2-906 
The same pulley placed at equal distances from the inner and outer hearings whirls 
at different speeds, those nearer the inner bearing beiug considerably higher than 
those near the end bearing. 
For further remarks, see those made in § 42, p. 329, which apply also to the 
present case. 
54. Comparing these results (§§ 52, 53) with those obtained in Case XIII., §§ 41, 42, 
that is, with the case of two equal spans (one of which is loaded), we see that in the 
case of three equal spans, an outer span of which is loaded, the calculated speed 
for the pulley alone exceeds that in the case of only two spans in a certain ratio, 
that ratio depending on the position and size of the pulley. 
2 Y 2 
