PROFESSOR MOSELEY ON THE THEORY OF MACHINES. 
305 
Eliminating the value of XJ n between this equation and equation (29.), and neglecting 
E 
dimensions above the first in — j &c., we have 
a ’ 
U i-{l+E(i-+|)+ Pa ~ sin <z> } IJ 2 + { D -f — ) 
+ 
W 
{ a / 
ipi , (» w + w ) P 
9 * n 
j sin <p | S ls 
(30.) 
where iv represents the whole weight rips of 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 Moseley. 
King's College, 
June 9, 1841 . 
