Systems with Nonzero Torque

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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

Examples

Taken from WebAssign and/or Matters and Interactions: Fourth Edition

Simple

Middling

Difficult

Connectedness

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History

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See also

A general description of torque: http://www.physicsbook.gatech.edu/Torque

External links

A brief overview on the topic: [1]

References

Matters and Interactions: 4th Edition