Theory of Machine
The instantaneous center of a rigid thin disc rolling on a plane rigid surface is located at

The point of contact
The center of the disc
The point on the circumference situated vertically opposite to the contact point
An infinite distance on the plane surface

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

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

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