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)/cosθ]
(r₁ + r₂) (1 + cosθ)

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Theory of Machine
In a steam engine, one method of obtaining the earlier cut-off with a simple slide valve is by increasing the angle of advance of the eccentric while the throw of the eccentric, steam lap and exhaust lap are kept constant. This method will

Reduce length of effective stroke of piston
Cause withdrawing or throttling of steam
All of these
Reduce maximum opening of port to steam

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Theory of Machine
In order to give a complete secondary balance of a multi-cylinder inline engine,

None of these
The algebraic sum of the secondary forces must be equal to zero
Both (A) and (B)
The algebraic sum of the couples about any point in the plane of the secondary forces must be equal to zero

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Theory of Machine
In a circular arc cam with roller follower, the acceleration in any position of the lift will depend only upon

Radius of circular arc, cam speed, location of centre of circular arc and roller diameter
Total lift, total angle of lift, minimum radius of cam and cam speed
Total lift, centre of gravity of the cam and cam speed
Mass of cam follower linkage, spring stiffness and cam speed

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