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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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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} 
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}
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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