tract 3S.

problems.

323

■with the ball; besides these, the weight of ball that movesforwards being 18lb, and of the weights and resistance back-wards 4S00 + 2400 + 3600 = 108001b, hence the whole

weights moved in the two directions are 10800 + —^ and

, 92-435-* „ 998298 + Rx , 2403-31-8*

18 + X 8, or — and ——> or as the

92-435

92-435

92-435

numerators of these only. But when the time and movingforce are given, or the same, then the spaces are inverselyas the quantities of matter; therefore * : 92 - 435 — .r : :2403-31 — 8* : 998298+ 8*, or by composition, x : 92'435 : :2403 31 -8-r : 1000TO1-31, and by div. x: 1 : : 2403-31 -8* :10826, theref. 10826* = 2403-31 - 8x, or 10834*= 2403-31,and hence *=-2218 inch=| of an inch nearly, or the recoilof the gun is less than a quarter of an inch.

Hence it mav be concluded, that so small a recoil, straightbackwards, can have no effect in causing the ball to deviatefrom the pointed line of direction: and that it is very pro-bable we are to seek for the cause of this effect in the ballstriking or rubbing against the sides of the bore, in its pas-sage through it, especially near the exit at the muzzle; bywhich it must happen, that if the ball strike against the rightside, the ball will deviate to the left; if it strike on the leftside, it must deviate to the right; if it strike against the un-der side, it must throw the ball upwards, and make it to rangefarther; but if it strike against the upper side, it must beatthe ball downwards, and cause a shorter range: all whichirregularities are found to take place, especially in guns thathave much windage, or which have the balls too small forthe bore.

Y2