Here is a collection of notes on the dynamics of a system of particles. The main definitions and relationships are summarized below.
Definition of center of mass (derivation here):
Newton’s Second Law for systems of particles (derivation here):
Moment equation for a system of particles (derivation here):
In your statics course, you probably discussed something called “center of gravity”. Now were going to discuss something very similar called the center of mass. This set of notes provides a review.
Here is a set of notes in which we start with Newton’s Second Law for single particles and develops a theory for collections of particles.
In this set of notes we take moments for each particle in the collection, add them up, and see what happens.