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hiddentrue

System: Any system can be treated as a point particle located at the center of mass. — Interactions: Any.

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}{composition-setup} {excerpt:hidden=true}*System:* Any system can be treated as a [point particle] located at the [center of mass]. --- *Interactions:* Any.{excerpt} {table:rules=cols|cellpadding=8|cellspacing=0|border=1|frame=void} {tr:valign=top} {td} h4. Introduction to the Model h5. Description and Assumptions This [model|model] is applicable to a [point particle] (or to a [system|system] of objects treated as a [point particle|point particle] located at the system's [center of mass]) when the [external forces|external force] are known or needed. It is a subclass of the model [Momentum and External Force] defined by the constraint _dm/dt_ = 0. h5. Learning Objectives Students will be assumed to understand this model who can: * State and explain the significance of Newton's Laws of Motion. * Define [normal force] and describe its relationship to [weight]. * Discriminate between [static|static friction] and [kinetic|kinetic friction] friction. * Explain the role of the [coefficient of friction] in both the [kinetic|kinetic friction] and [static|static friction] cases. * Construct a [free body diagram] for an object subject to [contact forces|contact force], [gravity|gravity (near-earth)], [elastic forces|Hooke's Law for elastic interactions], and/or [tension forces|tension]. * Construct and solve a system of equations describing the dynamics of more than one object that interact with one another. h4. S.I.M. Structure of the Model h5. Compatible Systems A single [point particle|point particle], or a system of constant mass that is treated as a point particle located at the system's center of mass. h5. Relevant Interactions [External forces|external force] must be understood sufficiently to draw a [free body diagram] for the system. [Internal forces|internal force] will always cancel from the equations of Newton's 2nd Law for the system and can be neglected. h4. Law of Change h5. Mathematical Representation {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} \[ \sum \vec{F}^{\rm ext} = m\vec{a} \]  \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}\[ \sum F^{\rm ext}_{x} = ma_{x}\]
\[ \sum F^{\rm ext}_{y} = ma_{y}\]
\[\sum F^{\rm ext}_{z} = ma_{z}\]\end{large}
{latex}{note} h5. Diagrammatical Representations * [Free Body Diagram|free body diagram] h4. Relevant Examples h6. {toggle-cloak:id=vec} Examples Involving Vector Components {cloak:id=vec} {contentbylabel:dynamics,vector_components|showSpace=false|showLabels=true|maxResults=50|exerpt=true|operator=AND} {cloak} h6. {toggle-cloak:id=norm} Examples Involving Normal Force {cloak:id=norm} {contentbylabel:dynamics,normal_force|showSpace=false|showLabels=true|maxResults=50|excerpt=true|operator=AND} {cloak} h6. {toggle-cloak:id=appw} Examples Involving Apparent Weight {cloak:id=appw} {contentbylabel:dynamics,apparent_weight|showSpace=false|showLabels=true|maxResults=50|excerpt=true|operator=AND} {cloak} h6. {toggle-cloak:id=tens} Examples Involving Tension {cloak:id=tens} {contentbylabel:dynamics,tension|showSpace=false|showLabels=true|maxResults=50|excerpt=true|operator=AND} {cloak} h6. {toggle-cloak:id=incl} Examples Involving Inclined Planes {cloak:id=incl} {contentbylabel:dynamics,inclined_plane|showSpace=false|showLabels=true|maxResults=50|excerpt=true|operator=AND} {cloak} h6. {toggle-cloak:id=stat} Examples Involving Static Friction {cloak:id=stat} {contentbylabel:dynamics,static_friction|showSpace=false|showLabels=true|maxResults=50|excerpt=true|operator=AND} {cloak} h6. {toggle-cloak:id=kin} Examples Involving Kinetic Friction {cloak:id=kin} {contentbylabel:dynamics,kinetic_friction|showSpace=false|showLabels=true|maxResults=50|excerpt=true|operator=AND} {cloak} h6. {toggle-cloak:id=cen} Examples Involving Centripetal Acceleration {cloak:id=cen} {contentbylabel:dynamics,centripetal_acceleration|showSpace=false|showLabels=true|maxResults=50|excerpt=true|operator=AND} {cloak} h6. {toggle-cloak:id=all} All Examples Using this Model {cloak:id=all} {contentbylabel:dynamics,example_problem|showSpace=false|showLabels=true|maxResults=50|excerpt=true|operator=AND} {cloak} \\ \\ {search-box} \\ \\ {td} {td:width=235px} !pull.jpg! \\ \\ !helicopter.jpg! \\ Photos courtesy: [US Navy|http://www.navy.mil] by Mass Communication Specialist 3rd Class James R. Evans [US Army|http://www.army.mil] by Spc. Michelle Waters {td} {tr} {table}
Diagrammatical Representations

Relevant Examples

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



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Image Added

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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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