382 



ANIMAL MECHANICS. 



Pi 

 I 



(?) 



O.171 



■ 0.124 



» O.393 



act 



P 



Pi 

 a 2 a 2 ' 

 P* 



= + 4-73 6 

 = + 2.470 

 = + 0.539 



3cA 



S( — ) = + 7.745 



Hence we obtain, using equations (96), 



K= + 0.535, 

 ml = + 0.449, 

 mX' = + 1.292. 



If we now employ these values to calculate the coefficients 

 of (92), we find for the biquadratic which determines the 

 position of the generator of maximum work, 



- 0.647 A * + 5-456 A 3 + 4.495 A + °-4°5 = °- 



One of the real roots of this equation is 



X = - 0.09 



Hence the construction (Fig. 90) applies, and we can find the 

 positions of 0 and (7, and the length of the equivalent fibre, 

 as follows : — 



L L> 



-p = + 0.361, — = + 1.038. 



Using these values in the equation, 



P 2 = D + L * - 2LL' cos 2$ + 4c\ 



we find 



p ! = ^|f P= 6.026 in. 



0.282 



L = + 2.175 in. U = + 6.255 m - 



