Theory of Machine
The gear train usually employed in clocks is a

Differential gear
Simple gear train
Reverted gear train
Sun and planet gear

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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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Theory of Machine
A point B on a rigid link AB moves with respect to A with angular velocity ω rad/s. The total acceleration of B with respect to A will be equal to

Vector difference of radial component and tangential component
Vector sum of radial component and tangential component
Vector sum of radial component and Coriolis component
Vector sum of tangential component and Coriolis component

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