Equations of Motion. 



results from - (see paj^e 9). 



results from /• coif (see papje 11), 

 dv 



results from 



sin ^f/v 



results from same cause that produces 

 centrifu<j:al force — r sin (> cos ^ ^l;^ 



results from comlnm-d action of 

 u and iL\ ( see page 11.) 



results from combined action of 

 V and w, (see page 11.) 



r sm ^ - +-J sm ^ — results irom r sin ^> — , 

 (If- (Ir dr 



n . ^ J?t' , 2sin6'io , ,, ^^ . 



z sin ^ -; — results trom 2 sin (> ir, 



dr I- 



. dhc (hr (ho 



sin o hcosy results from siii f> — , 



rdo- rdo da 



die 2 71) 



2 cos — '- sin results from 2 r cos w. 



vdO r 



d'^w ,, „ dw 



results trom — , 



d<f 

 results frcnn 2 sin o tni. 



r sin dif 



results from 2 cos fl r (see [). 12). 



Note IT. 

 Advantages of Iho precGdiiKj method of derivation. 



The method of deriving the equations of a viscous liquid 

 which has been received most favorably is that of Stokes. 

 Both Lamb and Basset have used his method, the tirst in part 

 and the second entirely, in their works on Hydrodynamics. 



But Stokes' method is based upon two hypotheses. (See 

 introduction. ) The second hypothesis has not been received 



