Link 1 rotates about fixed axis y-y and is connected by screw pair A to link 2. Link 3 rotates about fixed axis x-x, perpendicular to axis y-y, and is connected by screw pair B to link 4. Link 7 turns about fixed axis C. Link 5 slides in fixed guide p whose axis is parallel to axis x-x. Gear rack a of link 5 meshes with gear 6 which rotates about fixed axis D. Link 5 has slot b whose axis is parallel to axis y-y. Slider 8 moves along slot b and has pin K which slides simultaneously along slot f of link 7 and slot d of link 2. The axis of slot d is parallel to axis x-x. When link 2 is displaced a distance x and link 4 a distance y, the displacement of rack a of link 5 is z=(1/k)xy where k is a constant dimension of the mechanism. The magnitude of z is proportional to the angle ϕ of rotation of gear 6. We have ϕ=(1/(rk))xy where r is the pitch radius of gear 6.
$2266$LS,MO$