### 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

P1 for to pull body down incline:

P1 = W · ( µ · cos α - sin α ) ; eq 9

P2 for to hold body static on incline:

P2 = W · ( sin α - µ cos α ) ; eq 10

Where:

W = Body Weight (lbs, N)
Pn = 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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