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LINK-GEAR MECHANISM FOR TRACING LIMAÇONS

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The length of the links comply with the conditions: A͞B=A͞0=a and B͞C=C͞0=f. Figure ABC0 is a rhomboid linkage. Link 1, turning about fixed axis 0 , is connected by turning pair C to link 3 and by a sliding pair to slider 5. Link 4, turning about fixed axis A, is connected by turning pair B to link 3 and by a sliding pair to slider 2. Sliders 2 and 5 are connected together by turning pair D. When link 1 rotates about point 0, point D describes a limaçon with the equation ρD=0͞D=a*cos(ϕ)+b where a=2df²/(d²-f²), b=2d²f/(d²-f²), ϕ = polar angle between vector pD and polar axis 0x.
$1144$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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