Theory of Machine
The velocity of sliding of meshing gear teeth is(Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁ + ω₂) y
(ω₁/ω₂) y
(ω₁ × ω₂) y
(ω₁ + ω₂)/y

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Theory of Machine
In a mechanism, the fixed instantaneous centers are those centers which

Moves as the mechanism moves, but joints are of permanent nature
Vary with the configuration of the mechanism
Remain in the same place for all configurations of the mechanism
None of the listed here

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Theory of Machine
The Klein's method of construction for reciprocating engine mechanism

Enables determination of Cariole’s component
Is based on acceleration diagram
Is a simplified form of instantaneous center method
Utilizes a quadrilateral similar to the diagram of mechanism for reciprocating engine

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