Summary of equations

 

Moment of a force:

Scalar projection of  A along e:

Equivalent systems: Two systems are equivalent if the resultant force for the systems is equal and if the resultant moment for the systems is equal

Equilibrium for a particle:

Equilibrium for a rigid body:  

Centroid of a line:

 

Composite bodies:

 

Centroid of an area:

 

Composite bodies:

 

Centroid of a volume:

 

Composite bodies:

 

Theorems of Pappus:

Surface of revolution:

Volume of revolution:

 

Static friction: ,    Pending Motion:

Kinetic friction:

Belt friction:

Area moment of inertia: ,      ,   

Mass moment of Inertia: ,