Weights on inclined planes: resistance, friction and the fulcrum
A sheet of small statics diagrams reasoning about how support, obliquity and friction alter apparent weight
A page crowded with small diagrams of weights hung from rods and set on variously inclined planes, each annotated with a short mechanical proposition. Leonardo works out how a central support bears the sum of the loads (a support at n between two tens carries 20), why equal weights can feel double one another through differing resistance, and how friction ('confregazione') and obliquity of descent govern apparent heaviness. Running maxims conclude that a body dragged along a more oblique line has more resistant friction, and that the part of a support farthest from its fastening resists least. The reasoning is expressed through lettered figures and numeric proportions.
On this page
A central support carries the sum of the loads (a, m, n)
Point a feels the weight of the pole, which is 10; m feels the weight of the attached weights, likewise 10; and n sustains 20 because it lies midway between the two tens, so the pole rests on its support at n. The note closes with a general rule: the mover is always of greater power than the thing it moves.
Equal weights that appear double through resistance (n, m)
Though the suspended bodies are equidistant from the central line of the pole and the weights are equal, they appear double one another. Leonardo attributes this to the greater resistance that n has compared with m.
Friction revealed (n, h, a)
A small figure lettered n, h, a is captioned to show the act of friction. Among heavy things, Leonardo adds elsewhere on the sheet, that body is the mover of another which, by its natural descent, gives accidental motion to the other weight.
Maxims on oblique descent and support
Equal things do not overcome one another. A body dragged along a more oblique line has more resistant friction; every mobile weighs along the line of its motion, and the one that descends along a less oblique line shows itself heavier. The part of a support that is farther from its fastening resists least.
