PROFESSOR MOSELEV ON THE THEORY OF MACHINES. 305 



Eliminating the value of U„ between this equation and equation (29.), and neglecting 



E 

 dimensions above the first in — > &c., we have 



". = {>+e(^ + ^)+^>.}u. + {d(1 + -^-) 



^|W^.^(,W^|,„^J,_^ (30.) 



where w represents the whole weight nfjusb( the rope supported horizontally by the 

 pulleys. In this, as in the preceding case, it is assumed that although the rope is so 

 nearly in the same straight line on either side of each pulley that cos / may be con- 

 sidered evanescent, yet it does so far bend as to adapt itself to the circumference of 

 each, and thereby produce the whole of that resistance which is due to its rigidity, 



Henry Moselev. 



* 



King's College, 

 June 9, 1841. 



