Applied Mechanics and Graphic Statics
A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if

Floor is rough and the wall is smooth
Floor and wall both are rough surfaces
Floor and wall both are smooth surfaces
Floor is smooth and the wall is rough

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Applied Mechanics and Graphic Statics
If a set of given forces are such that their free vectors build a closed polygon, then

The resultant force is zero but resultant couple is not zero
The resultant force and resultant couple are always zero
The resultant force is zero but resultant couple may not be zero
The resultant force and resultant couple both may not be zero

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Applied Mechanics and Graphic Statics
The force acting on a point on the surface of a rigid body may be considered to act

On any point on the line of action of the force
On the periphery of the body
At any point on the surface normal to the line of action of the force
At the centre of gravity of the body

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