Momentum and Force

Description

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[Model Hierarchy]

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The root page Model Hierarchy could not be found in space Modeling Applied to Problem Solving.

This model is applicable to a system of point particles (or rigid bodies treated as point particles located at the position of the body's center of mass).

Page Contents
Description Assumed Knowledge Prior Models Vocabulary Model Specification System Structure Descriptors Laws of Interaction Laws of Change Relevant Examples

Assumed Knowledge

Prior Models

Vocabulary

Model Specification

System Structure

Internal Constituents: Point particles.
Environment: Only external forces need be considered, since internal forces do not change the system momentum.

Descriptors

Object Variables: Mass for each object (m^j), unless momentum is given directly.

State Variables: Velocity (v^j) or momentum (p^j) for each object.

Interaction Variables: External forces (F_ext,k).

Laws of Interaction

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\begin

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[ \frac{d\vec

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_{\rm system}}

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= \:\sum_

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^{N_{F}} \vec

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_

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]\end

where the system momentum is the vector sum of the constituent momenta:

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\begin

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[ \vec

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_

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= \sum_

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^

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\vec

^

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]\end

where N is the number of system constituents.

Laws of Change

None.

Relevant Examples

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null	RELATE wiki by David E. Pritchard is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.

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