Hammer-Driven Wedges and the Force of Percussion
The blow of a hammer driving graduated wedges, and rules relating percussion to the length of a body's fall.
The sheet studies the mechanics of percussion. Two hammer figures at the top drive a row of wedges of increasing thickness, and Leonardo reasons that a wedge twice as thick needs twice the power, obtained either by doubling the hammer's weight or by doubling its descent. Two columns of propositions then state that the magnitude of a percussion is proportional to the length of the natural motion of the falling body, and that doubling the weight or the descent doubles the blow. At the foot, a small drawing of pinions and toothed wheels poses a question about the difference between the wheels above and below.
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A hammer driving a graduated row of wedges
The motion a b, with the hammer's blow, drives wedge b into f; the wedge e, twice as thick, needs twice the power, gained by doubling the hammer's weight or its descent. Leonardo concludes that if one blow drives home wedge b, the same fall will drive home all the wedges below it when their thicknesses are proportioned to their distances from the first wedge-front.
Percussion proportional to the length of natural motion
A series of propositions asserts that the magnitude of a percussion equals the length of the motion made by the percussor, and that percussions of falling bodies stand in the same proportion as the lengths of their natural motions. A doubled power acting over half the motion opens the wedge's receptacle by the same space.
Pinions and toothed wheels compared
At the foot Leonardo draws pinions engaging toothed wheels and asks what difference there is between the pinions and wheels above and those below. The query connects the percussion study to geared transmission of force.
