Theory of Machine
In a flat collar pivot bearing, the moment due to friction is proportional to

(r₁³ - r₂³)/(r₁ - r₂)
(r₁² - r₂²)/(r₁ + r₂)
(r₁² - r₂²)/(r₁ - r₂)
(r₁³ - r₂³)/(r₁² - r₂²)

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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)]
(1/2). μ W (r₁ + r₂)
(2/3). μ W (r₁ + r₂)

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