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

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Engineering Mechanics
Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

The algebraic sum of their moments about any point in their plane is zero
Their lines of action are at equal distances
The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point
Their algebraic sum is zero

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Engineering Mechanics
Coplanar concurrent forces are those forces which

Do not meet at one point, but their lines of action lie on the same plane
Meet at one point, but their lines of action do not lie on the same plane
Do not meet at one point and their lines of action do not lie on the same plane
Meet at one point and their lines of action also lie on the same plane

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Engineering Mechanics
The static friction

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

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