You are viewing an old version of this page. View the current version.

Compare with Current View Page History

« Previous Version 9 Next »

Description

Unknown macro: {table}
Unknown macro: {tr}
Unknown macro: {td}

[Model Hierarchy]

Unknown macro: {tr}
Unknown macro: {td}
The root page Model Hierarchy could not be found in space Modeling Applied to Problem Solving.

This model is applicable to a single rigid body that is both rotating and translating. It is a subclass of the [1-D Angular Momentum and Torque] model defined by the constraint that the system consists of only one rigid body.


Page Contents


Assumed Knowledge

Prior Models

Vocabulary


Model Specification

System Structure

Internal Constituents:  One rigid body.
Environment:  Forces must be specified not only by their magnitude and direction, but also by either their point of application or moment arm with respect to the center of mass of the rigid body.

Descriptors

Object Variables:  Mass (m), moment of inertia about the center of mass (Icm). The moment of inertia may not be explicitly given, but there must be sufficient information to calculate it (often the mass plus some parameters of the rigid body's shape such as radius, length, etc.).

State Variables:  None.

Interaction Variables:  Acceleration of the center of mass (acm), angular acceleration about the center of mass (αcm), forces (F) and torques about the center of mass (τcm).

Laws of Interaction

Unknown macro: {latex}

\begin

Unknown macro: {large}

[ \sum F = ma_

Unknown macro: {cm}

]
[ \sum \tau_

= I_

Unknown macro: {cm}

\alpha_

]\end

Laws of Change

None.


Relevant Examples

Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null

Unknown macro: {search-box}



null

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


  • No labels