Theory of Machine
The velocity of sliding of meshing gear teeth is(Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁/ω₂) y
(ω₁ + ω₂) y
(ω₁ + ω₂)/y
(ω₁ × ω₂) y

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Theory of Machine
The static balancing is satisfactory for low speed rotors but with increasing speeds, dynamic balancing becomes necessary. This is because, the

Effects of unbalances are proportional to the square of the speed
Unbalanced couples are caused only at higher speeds
Unbalanced forces are not dangerous at higher speeds
Effects of unbalances are directly proportional to the speed

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Theory of Machine
In elliptical trammels

One pair turning and three pairs sliding
Two pairs turning and two pairs sliding
Three pairs turning and one pair sliding
All four pairs are turning

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