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 sin β
μ₁ = μ cos β
μ₁ = μ/cos β

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Theory of Machine
The contact ratio is given by

(Length of path of recess)/(Circular pitch)
(Length of the arc of approach)/cosφ
(Length of the path of approach)/(Circular pitch)
(Length of the arc of contact)/(Circular pitch)

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