Theory of Machine
The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (where R = Radius of flank, r₁ = Minimum radius of the cam, and θ = Angle turned through by the cam)

(R - r₁) (1 - sinθ)
R (1 - sinθ)
R (1 - cosθ)
(R - r₁) (1 - cosθ)

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Theory of Machine
Hammer blow

Varies inversely with the square of the speed
Varies as the square root of the speed
Is the maximum horizontal unbalanced force caused by the mass provided to balance the reciprocating masses.
Is the maximum vertical unbalanced force caused by the mass added to balance the reciprocating masses

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