Description
[Model Hierarchy]
This model is applicable to a system of point particles (or rigid bodies treated as point particles located at the position of the body's center of mass).
Page Contents |
|---|
Assumed Knowledge
Prior Models
Vocabulary
Model Specification
System Structure
Internal Constituents: Point particles.
Environment: Only external forces need be considered, since internal forces do not change the system momentum.
Descriptors
Object Variables: Mass for each object (mj), unless momentum is given directly.
State Variables: Velocity (vj) or momentum (pj) for each object.
Interaction Variables: External forces (Fext,k) or, alternately, impulses may be specified (Jext,k).
Laws of Interaction
\begin
[ \vec
_
= \int \vec
_
\:dt ]
[ \frac{d\vec
_{\rm system}}
= \:\sum_
^{N_{F}} \vec
_
]\end
where the system momentum is the vector sum of the constituent momenta:
\begin
[ \vec
_
= \sum_
^
\vec
^
]\end
where N is the number of system constituents.
Laws of Change
\begin
[ \vec
_
= \vec
_
+ \sum_
^{N_{F}} \vec
_
]\end
Relevant Examples
null |
RELATE wiki by David E. Pritchard is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License |
