ATTRACTION OF 

 Ilcncc, putt ing/ for /*/>*, we have 



"\ (4) 



/7, l'- " 



Let ^P = a, BPL = fr APJ3=y, then 

 A' = (cos 0-co. a), 



therefore V(-Y + Y*) = V{(cos - cos a) 3 + (sin a - sin )'} 



fm 

 ' 



. . 



COS 7 ^ = PL 8m ^' ' ' (5) ' 



This gives the magnitude of the resultant attraction. Also 

 A" cos/3 -< 



shews that the direction of the resultant attraction bisects 

 the angle APR 



If L fall between A and B, it will be seen from (I) and (2) 

 that the expression for X in (3) remains unchanged, but that 

 for Y in (4) is changed to 



fm(AL BL 

 ~ 



will not affect the result in (5), and the direction of the 

 resultant will still bisect the angle APR 



From the investigation it appears that AT is the resolved 

 attraction parallel to the axis of x directed towards the axis of 

 y, and Ftne resolved attraction parallel to the axis of y and 

 towards the axis of x. 



