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
\begin{large} \[ \sum \vec{F}^{\rm ext} = m\vec{a} \] \end{large} |
As with all vector equations, this Law of Interaction should really be understood as three simultaneous equations:
\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} |
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Diagrammatical Representations
Relevant Examples
Examples Involving Vector Components
Examples Involving Normal Force
Examples Involving Apparent Weight
Examples Involving Tension
Examples Involving Inclined Planes
Examples Involving Static Friction
Examples Involving Kinetic Friction
Examples Involving Centripetal Acceleration
All Examples Using this Model
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