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LINK-GEAR CUBING MECHANISM

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Slotted links 1 and 5 turn about fixed axes 0 and 0₁. Sliders 5 and 9 move along the slots of links 1 and 8, and have pins A and M which simultaneously slide in the slots of links 4, 6 and 10. Rigidly secured to link 3 is pin C which slides in the slot of link 1. Links 3 and 4 carry gear racks which mesh with gear 7, rotating about fixed axis H. Links 3, 6 and 10 slide in fixed guides p, q and r whose axes are parallel to one another. Link 4 slides in fixed guides m whose axis is perpendicular to the axes of guides p, q and r. When slotted link 1 turns about axis 0, link 6, by means of pin N, turns slotted link 8 about axis 0X. The mechanism is set up so that D͞C=B͞0=O͞₁F=x and B͞A=Q͞N. Displacement s₁₀=F͞M of link 10 equals x³/k₁k₂ . where k₁ and k₂ are constant dimensions of the mechanism. Thus the mechanism cubes the quantity x.
$1263$LG,MO$

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Documents: Lever mechanisms  [Streambook]
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