Theory of Machine
The frictional torque transmitted in a flat pivot bearing, assuming uniform wear, is(Where μ = Coefficient of friction, W=Load over the bearing, R=Radius of bearing)

¾μWR
²/₃ μWR
μwr
½μWR

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

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Theory of Machine
Two pulleys of radii r₁ and r₂ and at distance x apart are connected by means of a cross belt drive. The length of the belt is

π (r₁ - r₂) + [(r₁ + r₂)²/x] + 2x
π (r₁ - r₂) + [(r₁ - r₂)²/x] + 2x
π (r₁ + r₂) + [(r₁ + r₂)²/x] + 2x
π (r₁ + r₂) + [(r₁ - r₂)²/x] + 2x

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