Engineering Mechanics
A body of weight 'W' is required to move up on rough inclined plane whose angle of inclination with the horizontal is 'α'. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

P = W (cosα + μsinα)
P = W tanα
P = W tan (α + φ)
P = W (sinα + μcosα)

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Engineering Mechanics
The static friction

All of these
Is independent of the area of contact, between the two surfaces
Always acts in a direction, opposite to that in which the body tends to move
Bears a constant ratio to the normal reaction between the two surfaces

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