2 i\sn\\0\<Tn, Moment and Energy of a Vibrating Magnet. 

 Putting 



we get 



sin = sin" sin^ 



2 2 



'cos6< [ « 



" cos 



2 COS - d<i) 



d ""'■ ■:> 2 ^ 



^i]/=' 



[ J^^ [lil 



6 o « 



COS - COS 



2 2 



>i^d<f> 



where A = ( i - sin^ - sin'^)* 



2£' 



F' ' 



(3) 



E' and /^' being definite elliptic integrals of the second 

 and first class respectively. 



Assigning to a a series of values from o^ to i8o° the 

 relative mean values of the magnetic moment may be 

 obtained. They are given in column (2) in the table 

 underneath the maximum being written lOO. From this 

 table it is seen that when the magnet is vibrating to a 

 little more than 130' on either side of its position of rest 

 its mean magnetic moment would virtually vanish. As 

 the oscillations increase beyond 130 on either side of its 

 position of rest the magnet would exhibit a moment in 

 the contrar}' sense and would apparently behave like a 

 diaviagnetic substance. Thus ferromagnetic properties 

 might change to apparent diarnagnetic properties solely 

 in virtue of the motion of the magnet. 



