Theory of Machine
In a Hartnell governor, the lift of the sleeve is given by (where r₁ and r₂ = Max. and min. radii of rotation, x = Length of ball arm of the lever, and y = Length of sleeve arm of the lever)

(r₁ - r₂) (x/y)
(r₁ + r₂) (x/y)
(r₁ - r₂) (y/x)
(r₁ + r₂) (y/x)

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Theory of Machine
The frictional torque transmitted in a flat collar bearing, considering uniform pressure, is (where r₁ and r₂ = External and internal radii of collar respectively)

(1/2). μ W [(r₁³ - r₂³)/(r₁² - r₂²)]
(2/3). μ W [(r₁³ - r₂³)/(r₁² - r₂²)]
(2/3). μ W (r₁ + r₂)
(1/2). μ W (r₁ + r₂)

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Theory of Machine
Inertia force acts

Opposite to the direction of acceleration force
None of the listed here
Along the direction of acceleration force
Perpendicular to the acceleration force

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