Quinby on the maximum effect of Machines. 34% 
a the weight and inertia of the lever itself not be- 
ing consi 
if the effort of a power balanced that of the resistance, P 
would be equal to = Consequently, the difference between 
this value of P and its actual value, orP—7W will be the 
force which tends to move the lever. And because this pow- 
er applied to the point A accelerates the masses P and ae the 
mass to be substituted for W in the point A must be 7 Ziv 
(art. 310. cor. 4.) in order that this mass at the distance R 
may be equally accelerated with the mass W at the distance 
R. Hence the power P-_ W will accelerate the quantity 
of matter P +eW and the accelerating force F= 
PR?—RrW 
Past wyepaet. wy) iat 
f = ) ( aay ) PR? 4 2W But (art. 228) 
R?P—Rrw 
Rep + rw & 
the velocity of P. And, because veloc. of P : veloc. of Wi: 
» &Ft oris = gtF ; which in this case = 
mF, h velocity of W =" velocity of P =”_ 
r, we have velocity z y a7 
R?P—RrW RP SPw 
RPpw ©" RPTPW ® 
Cor. Ly pees ace described by the power in the time z 
will be = sat eae ar 
ie ap ae 
: fees * t?. 
the same time will -RePprw ge 
6ér 22 HMR: reins a the force which ac- 
pm 
celerates A be = — ee 
n? 
Cor. 2. Ifat the same time the inertia of tie = 
force P be =, as in muscular action, the force accelerating 
A will es. cant sada 
Cor. 3. If the mass moved have no weight, but possesses 
fnertia only, as when a body is moved along a horizontal 
