494 



Prof. Q. Majorat] a : Theoretical and 



of proportionality that gives the Newtonian force as a 

 function of the apparent mass,- calling this mass M , we have 



f we put 



1 - OS*/ 1 M 1 \] 



. (4) 



• (5) 



4 

 have M = « 



7f^E 3 ^~M w i|r, 



• • 



. (6) 



in which M v represents the true mass of the sphere. More- 

 over we have 



M^tt^R 3 ; S„= S ,"; 8„ = S.*; f=|". . (7) 



It is easy to see that 





lim yjr = l 9 



d hence 



lim M^M,. 





Fig. 2. 



(8) 



* 



1,0 

 0,9 

 Oft 



J I 

 j I 



0,7 

 O.S 

 0,5 

 0,4 

 0,3 

 0,2 



01 



\ I r- . ■ i , , 



V - - j t i ! > [ ! 



\ ' ' i ' ' 



\ I'll 



\^_ j j,.- •— L ; l f~ 



1 \ ! i ! ' ! i 

 1 \ i i i i 



1 \l 1. T " . 1 l 



T>' 



[ 1 ! . ! ! ! ' 1 .-. 



That is to say, that the apparent and true mass coincide if 

 jt> = 0, that is to say, if it is a question of a sphere with a very 

 small radius, or if H = 0. In fig. 2 the values of p are set 



