Machine Design
The ratio of driving tensions for flat belts, neglecting centrifugal tension, is (where T₁, and T₂ = Tensions on the tight and slack sides of belt respectively, μ = Coefficient of friction, between the belt and pulley, and θ = Angle of contact)

T₁/T₂ = μθ
T₁/T₂ = log μθ
T₁/T₂ =eμθ
log (T₁/T₂) = μθ

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Machine Design
A fast and loose pulley drive is used when

Shafts are arranged at right angles and rotate in one definite direction
Shafts are arranged parallel and rotate in the opposite directions
Shafts are arranged parallel and rotate in the same directions
Driven shaft is to be started or stopped whenever desired without interfering with the driving shaft

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