Machine Design
A type of brake commonly used in motor cars is a

Internal expanding brake
Band and block brake
Shoe brake
Band brake

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Machine Design
In a band and block brake, the ratio of tensions on the tight and slack sides of band is given by (where μ = Coefficient of friction between the blocks and the drum, θ = Semi-angle of each block subtending at the centre of drum, and n = Number of blocks)

T₁/T₂ = (μθ)n
T₁/T₂ = [(1 - μ tanθ)/ (1 + μ tanθ)]n
T₁/T₂ = μθ × n
T₁/T₂ = [(1 + μ tanθ)/ (1 - μ tanθ)]n

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

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