ON WAVE MOTION. 415 



Fasten the chain at two points A, B in the same horizontal line, 

 OA = c,OB = C|, and revolve the weight and chain round bodily, in steady 

 motion, to imitate a transversal vibration. 



The chain being taut, at tension P = crh, 



and at 



x=:0, y = y„ &sin-^=i>sin ^. 



At the weight 



1) 

 leading to the condition 



(12) pf^_P^+cra-| = 0, 



ax ax L 



C| a-a / Ix n'^a \/ {Ih) 



with V the wave velocity along the chain, 



o- g n'-l 



(13) cot -^,^ + cot -';^^^- 



with 



(14) 



{To be continued.) 



