Theory of Machine
A reed type tachometer use the principle of

Longitudinal vibration
Damped free vibration
Torsional vibration
Transverse vibration

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Theory of Machine
A system of masses rotating in different parallel planes is in dynamic balance if the

Resultant force is equal to zero
Resultant couple is equal to zero
Resultant force and resultant couple are both equal to zero
Resultant force is numerically equal to the resultant couple, but neither of them need necessarily be zero

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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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