Strength of Materials
The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is as per the principle of

balance of force
independence of forces
resolution of forces.
forces

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Strength of Materials
Coefficient of friction is the

ratio of limiting friction and normal reaction
the friction force acting when the body is in motion
the friction force acting when the body is just about to move
angle between normal reaction and the resultant of normal reaction and the limiting friction

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