Theory of Machine
The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the clockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

(ω₁ - ω₂)r
(ω₁ + ω₂)r
ω₁.ω₂.r
(ω₁ - ω₂)2r

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Theory of Machine
The contact ratio is given by

(Length of the arc of approach)/cosφ
(Length of the arc of contact)/(Circular pitch)
(Length of path of recess)/(Circular pitch)
(Length of the path of approach)/(Circular pitch)

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Theory of Machine
The frictional torque transmitted in a truncated conical pivot bearing, considering uniform wear, is

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

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