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

forces
resolution of forces.
balance of force
independence of forces

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Strength of Materials
Limiting force of friction is the

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

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Strength of Materials
In actual machines

mechanical advantage is equal to velocity ratio
mechanical advantage is unity
mechanical advantage is greater than velocity ratio
mechanical advantage is less than velocity ratio

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Strength of Materials
According to Lami's theorem

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
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

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