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 maximum fluctuation of speed is the

Sum of maximum and minimum speeds
Difference of minimum fluctuation of speed and the mean speed
Difference of the maximum and minimum speeds
Variations of speed above and below the mean resisting torque line

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

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Theory of Machine
In a circular arc cam with roller follower, the acceleration in any position of the lift will depend only upon

Mass of cam follower linkage, spring stiffness and cam speed
Total lift, total angle of lift, minimum radius of cam and cam speed
Radius of circular arc, cam speed, location of centre of circular arc and roller diameter
Total lift, centre of gravity of the cam and cam speed

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Theory of Machine
In a steam engine, one method of obtaining the earlier cut-off with a simple slide valve is by increasing the angle of advance of the eccentric while the throw of the eccentric, steam lap and exhaust lap are kept constant. This method will

Reduce length of effective stroke of piston
Reduce maximum opening of port to steam
Cause withdrawing or throttling of steam
All of these

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