Theory of Machine
In which of the following type of gear train the first gear and the last gear are co-axial.

Compound gear train
None of the listed here
Reverted gear train
Simple gear train

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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

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

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

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

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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 contact ratio is given by

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

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