352 
MR. S. DUNKERLET ON THE WHIRLING 
Let 
a — c^jh and h = c^//, 
that is, a and h are the ratios of the distance of the pulley from the nearest bearing 
to the radius of gyration of the pulley and to the span respectively. 
Then the solution to equation [B] p. 350, may be expressed in the form 
ac 
3 _ 
6 
28 + U (I - h) 
1 + 
L L ^ 1 - J 
3\ 
(7 + 95. 1 - 5) + 95 1 + 
1 - h 
— 
1-5 
+ 55 
+ ^/ 
1 + 
1 - I 
) {7 + 95 . 1 — 5) + 95 )} “■ 
+ cv 
155(28 + 951-5) 
(1 - hf . 
[C]. 
As in Cases X. and XIV. (§§ 27, 48), by assuming certain values for a and 5, the 
corresponding values of ac^ can be found and so, for any particular value of c^, the 
value of oi readily calculated. 
The following are the results obtained from equation [C]. The vertical columns 
give the value of 6 for different values of a, the value of 5 being fixed; wdiilst the 
rows denote the value of 0 for different values of 5, the value of u beino- fixed. 
