Theory of Machine
Oldham’s coupling is an inversion of the kinematic chain used in

Rotary engine
Whitworth quick return mechanism
Elliptical trammels
Universal joint

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Theory of Machine
When a mass of a critically damped single degree of freedom system is deflected from its equilibrium position and released, then it will

Return to equilibrium position without oscillation
Oscillate with increasing time period
Oscillate with decreasing amplitude
Oscillate with constant amplitude

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Theory of Machine
The contact ratio is given by

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

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