186 Mr. G. A. Schott on the 
Remembering that the radiation terms disappear as before, 
we must take account of the following terms on the right- 
hand sides of (14), because of (21) and (22) : — 
-_. ? [2K-(l-/3 S! )H+A-A]-"/[(l-/3 s )(K-H)+V+4-J 3 1 
H 
'f[(l-/3 2 XK-H)+V + A-A]-q[(l-/3 2 )K- 2 5 f - 
+Y+A~aA, 
respectively. 
Substituting these results in (12), together with (13) and 
(16), we get the equations of vibration in the form 
-f[^ 2 -^{2K-(l-/S 2 )H + .4-A}] 
-mj[G*4 m)co--% {(1-/3 2 )(K-H) + V + A-A }]=0 
^l(fi+m)^-^{(l-^)(K-B.)+Y+A-A }] 
+ « [b-^.+ »k+ g {(1-/3*)K- *~?f ~f n 
+V + A-A \']-&=0 
= —fteli sin# exp. tl a)£-rS^- 
2'■'7^ 
since the disturbing force is axial and equal to the real 
part of -/S^sinG exp. */©* + $+ —H § 8 (6). 
Write 
Q = ^ 2 -Jj(l-/3 2 )(K-B; + V + A-,j ^, . (23) 
r 
P <? 2 
and use the equation (2), mco 2 = ^ -J (1 -f-/3 2 )K — Vj- ; 
