Engineering Mechanics
If a number of forces are acting at a point, their resultant is given by

(∑V)2 +(∑H)2 +2(∑V)(∑H)
(∑V)2 + (∑H)2
√[(∑V)2 + (∑H)2]
√[(∑V)2 +(∑H)2 +2(∑V)(∑H)]

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Engineering Mechanics
According to the law of moments, if a number of coplanar forces acting on a particle are in equilibrium, then

Their lines of action are at equal distances
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

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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 g 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

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Engineering Mechanics
According to Newton's first law of motion,

The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts
Everybody continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force
None of these
To every action, there is always an equal and opposite reaction

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