System of Particles Notes

 

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):

eqnCG2

Newton’s Second Law for systems of particles (derivation here):

eqnNewtonSys2

Moment equation for a system of particles (derivation here):

eqnAngMo2

Definition of Center of Mass

pdflogoIn 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.

Newton’s Second Law for a System of Particles

pdflogoHere 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.

Moment Equation for a System of Particles

pdflogoIn this set of notes we take moments for each particle in the collection, add them up, and see what happens.