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, centre of gravity of the cam and cam speed
Mass of cam follower linkage, spring stiffness and cam speed
Total lift, total angle of lift, minimum radius of cam and cam speed

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Theory of Machine
In elliptical trammels

Three pairs turning and one pair sliding
All four pairs are turning
Two pairs turning and two pairs sliding
One pair turning and three pairs sliding

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Theory of Machine
The static balancing is satisfactory for low speed rotors but with increasing speeds, dynamic balancing becomes necessary. This is because, the

Unbalanced couples are caused only at higher speeds
Effects of unbalances are directly proportional to the speed
Unbalanced forces are not dangerous at higher speeds
Effects of unbalances are proportional to the square of the speed

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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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