Brard 



^h^cos (a)t+f) = |pALU2||^(;x3-/Xj) + a' l-0'(O)-f' (^) 



+ ^ -T f^- 



A l^B^L 



B '"b' 



1- a, 



iBfi(T)Jjf r ^°^ H ^ i) • ^^^^ 



with 



.CO CO 



f (f ) = J 0'(r') cos (^ r') dr', g' (^) = J <^r') sin (f r') d. 







14.4. The Set of Forces in a Purely Pitching Motion 

 In formulae of par. 8, we have to substitute: 



6 + 6q cos oJt for 6 , 6 for rr , 6^ — cos [ait + -^\ for -rr , 



(16) 



ifr 



cos wt for 



L^q 



That gives: [z = expression given by (8)], 



Z cos ojt = ^ pAU^ 



U, 



C„+2 



f%^^f ^x,+ -(l-t) 



+ ^T %^2Bg2B (^)/( 

 COS (at +1) = ^ pAU2 I 2W ^^+ ^^^ _ b 



L \ I (aJL 



> (17) 



1-0(0)- f 



U/ I \U/ 



cos at 



U 



+ 1 



T^L, 



^B"*" ^2B ^2B ( U / 



^-f c x2/3^, 



If ^O^os (at + ^J , 



where 



00 CO 



(^) = J ^2B^-') c°^ (^ ^') dr', g,B(^) = I 02B (^) -i" (^ ^') dr'. 



Similarly, we obtain: [x = expression given by (8)], 



