Theory of Machine
The example of successfully constrained motion is a

All of these
Motion of an I.C. engine valve
Piston reciprocating inside an engine cylinder
Motion of the shaft between a footstep bearing

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Theory of Machine
The contact ratio is given by

(Length of the arc of approach)/cosφ
(Length of path of recess)/(Circular pitch)
(Length of the arc of contact)/(Circular pitch)
(Length of the path of approach)/(Circular pitch)

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