Machine Design
For a shoe brake, the equivalent coefficient of friction is equal to (where μ = Actual coefficient of friction, and θ = Semi-block angle)

4μ sinθ/(θ + sinθ)
4μ sinθ/(2θ + sin 2θ)
μ sinθ/(2θ + sin 2θ)
2μ sinθ/(θ + sinθ)

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Machine Design
A fast and loose pulley drive is used when

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
Shafts are arranged parallel and rotate in the opposite directions
Shafts are arranged at right angles and rotate in one definite direction

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