### Inclined Wedge Force and Friction 4 Equation and Calculator

**Machine Design and Application**

**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

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