Theory of Machine
Whitworth quick return mechanism is obtained by inversion of

Slider crank mechanism
Kinematic chain
Roller cam mechanism
Five link mechanism

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Theory of Machine
In a circular arc cam with roller follower, the acceleration in any position of the lift will depend only upon

Total lift, total angle of lift, minimum radius of cam and cam speed
Mass of cam follower linkage, spring stiffness and cam speed
Total lift, centre of gravity of the cam and cam speed
Radius of circular arc, cam speed, location of centre of circular arc and roller diameter

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