Page History

h2. Description
{table:align=right|cellspacing=0|cellpadding=1|border=1|frame=box|width=40%}{tr}{td:align=center|bgcolor=#F2F2F2}*Hierarchy of Models*{td}{tr}{tr}{td}{pagetree:root=Hierarchy of Models}{td}{tr}{table}
{excerpt}This model is applicable to a point particle when the external forces are known or needed.  It is a subclass of the model [Momentum and Force] defined by the constraint _dm/dt_ = 0.{excerpt}
----
||Page Contents||
|{toc:style=none|indent=10px}|

----
h2. Assumptions and Limitations

h4. Prior Models
*  Familiarity with [One-Dimensional Motion with Constant Acceleration] is useful.

h4. Vocabulary
* [Newton's Laws]
* [mass]
* [acceleration]
* [force]

----
h2. Model Specification

h4. System Schema

*Internal Constituents:* [Point particle|point particle]. 

*External Agents:* External influences must be understood sufficiently to draw a [free body diagram] for the system.

h4. Descriptors

*Object Variables:* {latex}\begin{large}\[m\]\end{large}{latex}.

*State Variables:* None.

*Interaction Variables:* {latex}\begin{large}\[\vec{F}_^{i,{\rm ext}_{i}}\]\end{large}{latex} (i = 1,2,...,n where n is the number of external forces acting), {latex}\begin{large}\[\vec{a}\]\end{large}{latex}.

h4. Laws of Interaction

{latex}\begin{large} \[ \sum_{i} \vec{F}_^{i,{\rm ext}_{i}} = m\vec{a} \]  \end{large} {latex}

h4. Laws of Change

None.

----
h2. Relevant Examples

{contentbylabel:dynamics,example_problem|showSpace=false|showLabels=false|maxResults=50|operator=AND}

----
{search-box}
\\
\\
| !copyright and waiver^copyrightnotice.png! | RELATE wiki by David E. Pritchard is licensed under a [Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License|http://creativecommons.org/licenses/by-nc-sa/3.0/us/]. |
\\