264 



Miss Lorna M. Swain on the Period of 



uniform rod is that corresponding to the first assumption 

 and lies almost along- th^ accurate value curve. It should 

 of course by the general theory lie above it, whereas for the 

 larger values of A, it appears to lie just below. This may be 



Fig:. 2 a.— Uniform rod. 



Fig. 2 b. — Rod tapering to a knife-edge. 



z 2 ( " z 2 \ 



Rayleigh (i a), (i b) correspond to the displacement curve y—n j 2 ( 1- 4 j +6 -J. 



(iia), (ii6) „ „ „ „ y=Vj 2 . 



accounted for by the fact, that the values obtained in Mr. 

 Berry's paper are only accurate within about 1 per cent. 

 This shows that the values obtained from the Rayleigh carve 

 should be accurate within about \ per cent. For the rod 

 tapering to a knife-edge, the Rayleigh curve corresponding 

 to the second assumption is the lower and gives results 

 correct within about 6 per cent. 



