Theory of Machine
A fixed gear having 200 teeth is in mesh with another gear having 50 teeth. The two gears are connected by an arm. The number of turns made by the smaller gear for one revolution of arm about the centre of bigger gear is

Theory of Machine
For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum radius of rotation of balls respectively, S₁ and S₂ = Maximum and minimum force exerted on the sleeve respectively, and M = Mass on the sleeve)

(m.g - S₁)/(m.g - S₂) = r₂/r₁
S₁/S₂ = r₁/r₂
(m.g + S₁)/(m.g + S₂) = r₁/r₂
S₂/S₁ = r₁/r₂

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Theory of Machine
Sensitiveness of the governor is defined as the ratio of the

Mean speed to the maximum equilibrium speed
Sum of the maximum and minimum equilibrium speeds to the mean speed
Difference of the maximum and minimum equilibrium speeds to the mean speed
Mean speed to the minimum equilibrium speed

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