Systems with Nonzero Torque: Difference between revisions

Revision as of 21:51, 5 December 2015

Claimed by nvohra3.

In certain systems, external torques have an effect on a system's angular momentum. Since these external forces do not sum to zero, we end up with a system with nonzero torque.

The Main Idea

With previous systems involving torque, we've been fortunate enough to have systems where the net torque is non-zero, hence [math]\displaystyle{ \vec{L}_{final} = \vec{L}_{initial}. }[/math] See However, we're not always fortunate enough to have such systems.

A Mathematical Model

So the angular momentum principle is the following: [math]\displaystyle{ {\frac{d\vec{L}}{dt}}= \vec{r} * \vec{F}_{net} = \vec{т}_{net} }[/math]

A Computational Model

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

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References

Matters and Interactions: 4th Edition

@@ Line 5: / Line 5: @@
 ==The Main Idea==
-We can relate this to the Angular Momentum principle <math>{\frac{d\vec{L}}{dt}}=Torque</math>
+With previous systems involving torque, we've been fortunate enough to have systems where the net torque is non-zero, hence <math> \vec{L}_{final} = \vec{L}_{initial}. </math>
+See
+However, we're not always fortunate enough to have such systems.
 ===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.
+So the angular momentum principle is the following: <math>{\frac{d\vec{L}}{dt}}= \vec{r} * \vec{F}_{net} = \vec{т}_{net} </math>
 ===A Computational Model===