Strength of Materials
A body of weight W on inclined plane of a being pulled up by a horizontal force P will be on the point of motion up the plane when P is equal to

Wtan(a + <|))
W sin (a + $)
W
Wan(a-)

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Strength of Materials
According to principle of moments

positive and negative couples can be balanced
if a system of coplanar forces is in equilibrium, then the algebraic sum of their moments about any point in their plane is zero
if a system of coplanar forces is in equilibrium, then their algebraic sum is zero
the algebraic sum of the moments of any two forces about any point is equal to moment of theiwesultant about the same point

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Strength of Materials
According to Lami's theorem

Three forces acting at a point can be represented by a triangle, each side being proportional to force
Three forces acting at a point will be in equilibrium
If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium
If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two

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