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Comment: Migration of unmigrated content due to installation of a new plugin
Composition Setup
 Excerpt
hiddentrue
System: Any system can be treated as a point particle located at the center of mass. — Interactions: Any.
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h2. Description
{table:align=right|cellspacing=0|cellpadding=1|border=1|frame=box|width=40%}{tr}{td:align=center|bgcolor=#F2F2F2}*[Model Hierarchy]*{td}{tr}{tr}{td}{pagetree:root=Model Hierarchy|reverse=true}{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}
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h2. Assumptions and Limitations

h4. Prior Models
*  [One-Dimensional Motion with Constant Acceleration|1-D Motion (Constant Acceleration)].

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

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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}\[\vec{F}^{\rm ext}_{i}\]\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}
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Introduction to the Model
Description and Assumptions
This model is applicable to a point particle (or to a system of objects treated as a point particle located at the system's center of mass) when the external forces are known or needed. It is a subclass of the model Momentum and External Force defined by the constraint dm/dt = 0.
Learning Objectives
Students will be assumed to understand this model who can:
S.I.M. Structure of the Model
Compatible Systems
A single point particle, or a system of constant mass that is treated as a point particle located at the system's center of mass.
Relevant Interactions
External forces must be understood sufficiently to draw a free body diagram for the system. Internal forces will always cancel from the equations of Newton's 2nd Law for the system and can be neglected.
Law of Change
Mathematical Representation
 Latex
\begin{large} \[ \sum
_{i}
 \vec{F}^{\rm ext}
_{i}
 = m\vec{a} \]  \end{large} 
{latex}

{note}As with all vector equations, this Law of Interaction should really be understood as three simultaneous equations:

{latex}
 Note
As with all vector equations, this Law of Interaction should really be understood as three simultaneous equations:
 Latex
\begin{large}\[ \sum
_{i}
 F^{\rm ext}_{
i,
x} = ma_{x}\]
\[ \sum
_{i}
 F^{\rm ext}_{
i,
y} = ma_{y}\]
\[\sum
_{i}
 F^{\rm ext}_{
i,
z} = ma_{z}\]\end{large}
{latex}{note}

h4. Laws of Change

None.

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h2. Relevant Examples

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

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| !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/]. |
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Diagrammatical Representations
Relevant Examples
 
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idvec
 Examples Involving Vector Components
 
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idvec
 falsetrue50trueANDdynamics,vector_components
 
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idnorm
 Examples Involving Normal Force
 
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idnorm
 falsetrue50trueANDdynamics,normal_force
 
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idappw
 Examples Involving Apparent Weight
 
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idappw
 falsetrue50trueANDdynamics,apparent_weight
 
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idtens
 Examples Involving Tension
 
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idtens
 falsetrue50trueANDdynamics,tension
 
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idincl
 Examples Involving Inclined Planes
 
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idincl
 falsetrue50trueANDdynamics,inclined_plane
 
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idstat
 Examples Involving Static Friction
 
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idstat
 falsetrue50trueANDdynamics,static_friction
 
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idkin
 Examples Involving Kinetic Friction
 
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idkin
 falsetrue50trueANDdynamics,kinetic_friction
 
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idcen
 Examples Involving Centripetal Acceleration
 
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idcen
 falsetrue50trueANDdynamics,centripetal_acceleration
 
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idall
 All Examples Using this Model
 
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idall
 falsetrue50trueANDdynamics,example_problem


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Photos courtesy:
 US Navy by Mass Communication Specialist 3rd Class James R. Evans
US Army by Spc. Michelle Waters
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