306 
MR. S. DUNKERLEY ON THE WHIRLING 
Values of 6 in the equation &j — ^.^/(^EI/ Wc®), c being the Distance of the Pulley 
from the Shoulder. 
Value of c/A'. 
Value of 9. 
Small (superior limit) .... 
3-464 
•25. 
3-437 
•50. 
3'.356 
•75. 
3-225 
1-00. 
3-048 
1-25. 
2-841 
1-50. 
2-628 
1-75. 
2-437 
2-00. 
2-282 
Large (inferior limit) .... 
1-732 
Case X. 
26 . Shaft, length I , merely resting on a support at each end and loaded 
WITH a pulley, weight W and moment of inertia 1', AT DISTANCES C, C FROM 
THE SUPPORTS. 
Let the origin be taken at the left-hand bearing. 
We have (§21, equation 2) 
y = ^ x~ -f-Cx + D 
between A and B, and 
y' = L ^3 + C'» + D' 
between B and C. 
When X =■ 0, 
U = 
ddyflx^ = 0 . 
