Iterative Prediction of Spring-Mass System: Difference between revisions

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==The Main Idea==
==The Main Idea==


State, in your own words, the main idea for this topic
A simple spring-mass system is a basic illustration of the momentum principle.  The principle of conservation of momentum can be repeatedly applied to predict the system's future motion.
Electric Field of Capacitor


===A Mathematical Model===
===A Mathematical Model===


What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.
The Momentum Principle provides a mathematical basis for the repeated calculations needed to predicts the system's future motion.
 
The most useful form of this equation is referred to as the "momentum update form" of the Momentum Principle.
 
  For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.


===A Computational Model===
===A Computational Model===

Revision as of 12:29, 1 December 2015

claimed by kgiles7

Short Description of Topic

The Main Idea

A simple spring-mass system is a basic illustration of the momentum principle. The principle of conservation of momentum can be repeatedly applied to predict the system's future motion.

A Mathematical Model

The Momentum Principle provides a mathematical basis for the repeated calculations needed to predicts the system's future motion.

The most useful form of this equation is referred to as the "momentum update form" of the Momentum Principle.

 For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples

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