### Inclined Wedge Force and Friction 3 Equation and Calculator

**Machine Design and Application**

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

**Neglecting Friction Static Forces **:

P = W · h /* l ; eq 1
*P = W · sin α ;

*eq 2*

W = P ·* l* / h ; *eq 3 *

W = P / sin α ; *eq 4 *

W = P· cosec α ; *eq 5 *

Q = W · b / *l* ; *eq 6 *

Q = W · cos α ; *eq 7 *

**With Friction Forces **:

P Force to pull body up incline:

P = W · ( µ · cos α + sin α ) ; *eq 8 *

P_{1} for to pull body down incline:

P_{1} = W · ( µ · cos α - sin α ) ; *eq 9 *

P_{2} for to hold body static on incline:

P_{2} = W · ( sin α - µ cos α ) ; *eq 10 *

**Where**:

W = Body Weight (lbs, N)

P_{n} = Load / Force (lbs, N)

Q = Load / Force (lbs, N)

α = Angle (deg.)

µ = Coefficient of Friction

*l* = Length as indicated (in,mm)

b = Length as indicated (in,mm)

*h *= Length as indicated (in,mm)

Reference: Machinery's Handbook

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