Leonardo da Vinci and the resolution of forces. Leonardo (1452-1519) asked himself how

Chapter 5, Problem 14

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Leonardo da Vinci and the resolution of forces. Leonardo (1452-1519) asked himself how the weight of a body, supported by two strings of different length, is apportioned between the two strings.Three forces are acting at the point D: the tensions F\ and F2 in the strings and the weight W. Leonardo believed thatiifhi = m\\Fl\\ E B Was he right? (Source: Les Manuscrits de Leonard de Vinci, published by Ravaisson-Mollien, Paris, 1890.) (Hint: Resolve F \ into a horizontal and a vertical component; do the same for F2. Since the system is at rest, the equation F \ + F2 + W = 0 holds. Express the ratio*II fill II ^2IIandEAin terms of a and ft, using trigonometric functions,; compare the results.)

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