240 T. H. Havelock. 
The graph is shown in curve A of fig. 2, the base being c/1/ (2g). 
8. For the unsymmetrical model of fig. 1, we have 
R = (90b°e2/4m) | “(2 4 P) cos BL, (26) 
where Y 
I+ i =| (Qu + u?) etsuletcos > das, (27) 
= 
In this case the reductions lead to, 
2 
2187g0b7l (2, 64 1 1152 1 4 28 
ie ic’ TR ae gh Spee Tal =P; 
dnp? \3' 15 pt 35 pt p * (p) ae (p) 
72 72, 
= ae 1G (Gi) — ae Ey | ; (28) 
where p is now 3gl/c?. 
For purposes of calculation this is put in the form 
218igebt (2, 64 1 , 11521 96 P 
4np? \3 iB p ao UG 
—46 — ©) ei) - ge a Ps(p)}. 29) 
a 
Tp" 
02 0:22 0:24 0:26 0:28 0:3 0:32 034 
Fig. 2. 
9. The curves for the two models are given with the same co-ordinates, 
namely, R/gpb?l and c/1/(2gl) ; since the lengths of the models are different, 
the maxima and minima of the superposed oscillations occur at different 
speeds in the two cases, 
247 
