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LINK-GEAR MECHANISM FOR TRACING CUBIC PARABOLAS

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T-shaped link 1 turns about fixed axis A. Cross-piece k-k of link 1 is connected by sliding pairs to sliders 2 and 4. Cross- piece Ab of link 1 is connected by a sliding pair to slider 6. Slider 3 moves along fixed guides t-t whose axis is parallel to axis Ax. Cross-piece Cm of slider 3 is connected by turning pair C to slider 4 and by a sliding pair to slider 5. Sliders 5 and 6 are connected together by turning pair D. Cross-piece Dn of slider 5 is connected by a sliding pair to slider 7 which, in turn, is connected by turning pair E to slider 2. When link 1 turns about axis A, point D of slider 6 describes parabola q-q and point E of slider 2 describes cubic parabola s-s with the equation x²=-(1/2p)y³ where 2p is a constant dimension of the mechanism.
$1203$LG,Ge$

Linked items
Documents: Lever mechanisms  [Streambook]
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