Rods and Cords: Weight at Every Position
The load borne by a rod hung or drawn by a cord, with a pair of wheels
Continuing the study of the previous leaf, this sheet analyses the weight a rod (aste) transmits when suspended or pulled by a cord, filling the page with small figures annotated by numbers such as 0-1-2-3-4 and weights of 8, 4, 2 and 16. Leonardo states that a cord fixed perpendicularly to one end of a rod always gives half the rod's weight to the cord that sustains it, whatever line the rod takes, and that the rod's end shows different weights at every position it moves through. A pair of wheels marked '20 braccia' and many lever-and-weight diagrams accompany the notes, on a leaf with torn edges.
On this page
A rod hung on a cord shows weight by where the cord is drawn
The immobile part of a rod hung on a cord will show itself of as many weights as there are various places from which that cord is pulled. The principle links the cord's line of pull to the load it registers.
A perpendicular cord bears half the rod's weight
A cord applied perpendicularly to one end of the rod always gives half of the rod's weight to the cord that sustains it. This holds along whatever line the rod may be situated.
A rod's shifting end varies its weight
A rod that changes its position with its extremity will vary that end through as many various weights as there are various positions into which it changes. The figures are keyed with numbers such as 16, 8, 4, 2.
A pair of wheels marked 20 braccia
At the foot of the sheet a pair of wheels is drawn, labelled a, n, S f and dimensioned '20 braccia'. It stands among the many small mechanical sketches that illustrate the weight studies.
