Theory of Machine
Crowning on pulleys helps

Increase belt and pulley life
For automatic adjustment of belt position so that belt runs centrally
In increasing velocity ratio
In decreasing the slip of the belt

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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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