Theory of Machine
In railway axle boxes, the bearing used is

Double row spherical roller bearing
Deep groove ball bearing
Cylindrical roller bearing
Double row self aligning ball bearing

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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)

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

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