Engineering Mechanics
For any system of coplanar forces, the condition of equilibrium is that the

Algebraic sum of the vertical components of all the forces should be zero
Algebraic sum of moments of all the forces about any point should be zero
Algebraic sum of the horizontal components of all the forces should be zero
All of these

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Engineering Mechanics
One joule means that

Work is done by a force of 1 kg when it displaces a body through 1 m
Work is done by a force of 1 dyne when it displaces a body through 1 cm
Work is done by a force of 1 N when it displaces a body through 1 m
Work is done by a force of 1 g when it displaces a body through 1 cm

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

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