Theory of Machine
In considering friction of a V-thread, the virtual coefficient of friction (μ₁) is given by

μ₁ = μ sin β
μ₁ = μ cos β
μ₁ = μ/cos β
μ₁ = μ/sin β

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

T₁/T₂ = (μ θ)n
T₁/T₂ = [(1 - μ tanθ)/(1 + μ tanθ)]n
T₁/T₂ = [(1 + μ tanθ)/(1 - μ tanθ)]n
T₁/T₂ = μ. θ. n

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