Theory of Machine
The critical speed of a shaft with a disc supported in between is equal to the natural frequency of the system in

Torsional vibrations
Transverse vibrations
Longitudinal vibrations
All of these

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Theory of Machine
The displacement of the reciprocating roller follower, when it has contact with the straight flanks of the tangent cam, is given by (where r₁ = Minimum radius of the cam, r₂ = Radius of the roller follower, and θ = Angle turned by the cam from the beginning of the follower displacement)

(r₁ - r₂) (1 - cosθ)
(r₁ + r₂) [(1 - cosθ)/cosθ]
(r₁ + r₂) (1 + cosθ)
(r₁ - r₂) [(1 - cosθ)/cosθ]

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

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

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