Theory of Machine
The example of rolling pair is

Ball bearing and roller bearing
Lead screw of a lathe
Ball and socket joint
Bolt and nut

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Theory of Machine
In a single slider crank chain

Three are turning pairs and one is a sliding pair
One is a turning pair and three are sliding pairs
Two are turning pairs and two are sliding pairs
Each of the four pairs is a turning pair

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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)

(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
Hammer blow

Varies as the square root of the speed
Is the maximum vertical unbalanced force caused by the mass added to balance the reciprocating masses
Is the maximum horizontal unbalanced force caused by the mass provided to balance the reciprocating masses.
Varies inversely with the square of the speed

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