Cord strength, weight and resistance; the flight of an arrow
A hanging cord is weakest at its top, and a bow study of how string angle steers the arrow
This verso continues the study of supports and cords: the part of a support farthest from its fastening is the weakest, and a weight held by a weaker resistance behaves as if heavier. A long passage argues that a hanging cord is weakest where it meets its upper attachment, since all the load gathers there — a rope could be imagined so long that its own weight would snap it. A separate bow-and-arrow diagram (arrow paths n, f, m and the drawn mid-point S) asks how the same arrow's motion changes with the line of release and how far the bow is drawn, observing that unequal string angles keep the arrow from flying straight. Balance-beams, a pulley with weight, and a weighted cord are sketched around the text.
On this page
The support is weakest farthest from its fastening
The part of a support situated farthest from its fastening is the weakest and resists the load least. Correspondingly, a weight shows itself heavier when it is sustained by a weaker resistance.
A hanging cord is weakest at its upper attachment
A rope fixed perpendicular to the support of weights grows weaker the nearer it is to its upper support, because that is where the whole load gathers and the strain is greatest. One could imagine a rope so long that its own weight alone would break it, and it would part at the top.
How a bow's string angle governs the arrow's flight
The diagram asks the quality and quantity of motion of one same arrow along the different lines n, f and m, and how the motion differs when the bow is drawn at the middle m S versus at a f. Because the angle of the string is unequal, the arrow is not driven by equal angles and so will not fly in a straight line.
