Murthy 



Lateral Force 



Y p = 

 C 



Vertical Force 



// 



dxdy 



"Po + 2i " <*ioo + Vioo> p < 



+ 2 " <*oio + Voio>p o 



2 /- 



+ ^ r ioo s oio + r oio s ioo + 2r no p o +3r ioo r oio p o r 



°\) 



+ 5 /3 ( r s + r d ) 



v 100 100 2 100 P o ' 



XX 



+ 0ae (r 001 P o ) 

 x 



+ 8 Bote |r s + r s 



M \ 100 001 001 1 



00 +2r i01 P o +2r i00 r i00 P o 



, ) 



xx / 



,2 iat 



+ P ate (r s +r s +2r D + 



v 010 001 001 010 011 P n 



+ 2; 010 ; 001 P o ) 



(II. 3) 



It is of course understood that the real part of the complex 

 quantities on the right-hand side are to be taken, although the symbol 

 "Re" , has not been explicitly indicated. But, in view of the possible 

 confusion in the case of terms with e *as a factor, the following 



convention may be established. The factor e ,<rt occurs both with 

 respect to the displacements which are assumed to be simple harmonic 

 (and of the same frequency as the wave) and with respect to the wave 

 potential which is also simple harmonic. As the displacements and 

 the potentials could be complex, the real part of these quantities 

 multiplied by e lcrt is to be taken. In the case of terms containing 



,2i<r t 



as a factor, the correct procedure would be to assign a factor 



of e l<rt to the displacement and take the real part, assign another 



178 



