Strength of Materials
A heavy ladder resting on floor and against a vertical wall may not be in equilibrium, if

the floor is rough, the wall is smooth
the floor and wall both are smooth surfaces
the floor and wall both are rough sur-faces
the floor is smooth, the wall is rough

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Strength of Materials
According to Lami's theorem

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
Three forces acting at a point will be in equilibrium
Three forces acting at a point can be represented by a triangle, each side being proportional to force
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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