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Inclined Wedge Force and Friction 4 Equation and Calculator

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Forces to Pull Weight up Inclined Plane with and without Friction and angle β Equation and Calculator

Neglecting Friction Static Forces :

P = W · sin α / cos β ; eq 1

W = P · cos β / sin α ; eq 2

Q = W · cos ( β + α ) / cos β ; eq 3

With Friction Forces :

P = W · sin ( β + Φ ) / cos ( β - Φ ) ; eq 4

µ = tan Φ or atan µ = Φ ; eq 5

Where:

W = Body Weight (lbs, N)
P = Load / Force (lbs, N)
Q = Load / Force (lbs, N)
α = Angle (deg.)
β = Angle (deg.)
µ = Coefficient of Friction
Φ = constant

Reference: Machinery's Handbook