Theory of Machine
Kinematic pairs are those which have two elements that

Have surface contact
Permit relative motion
Have line contact
Are held together

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Theory of Machine
Angle of ascent of cam is defined as the angle

Of rotation of the cam for a definite displacement of the follower
During which the follower returns to its initial position
Moved by the cam from the instant the follower begins to rise, till it reaches its highest position
Through which the cam rotates during the period in which the follower remains in highest position

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

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