Struggling with Calculus Problems in Systems Dynamics?

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Homework Help Overview

The discussion revolves around challenges faced in calculus problems related to Systems Dynamics, particularly focusing on the relationship between effort and flow variables in various systems. Participants explore the conceptual underpinnings of these relationships through examples from electrical, fluid, and thermal systems.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants share resources for understanding calculus concepts, while some express concerns about the accuracy of those resources. Questions arise regarding terminology, such as "electric pressure," and its implications in the context of Systems Dynamics.

Discussion Status

The discussion includes shared resources and corrections to links, indicating a collaborative effort to assist one another. There is an ongoing exploration of terminology and its relevance to the subject matter, with no clear consensus reached on the definitions or concepts discussed.

Contextual Notes

Participants note that the equations in Systems Dynamics are typically second-order and emphasize the importance of understanding the relationships between effort and flow variables. There is mention of the use of analogies between fluid flow and electrical systems, which may require further clarification.

dontdisturbmycircles
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Try http://www.mathcasts.org/db_calc/main_view.php .

I just did a google search for a specific type of problem I was struggling with and this website helped a lot. I can't guarantee that all the videos are accurate, but there are lots of them(note that there are 6 pages) and they seem fine to me.

Enjoy. :smile:

Find the topic you are interested in and click "mathcast".


Even though they are geared towards a specific textbook, its all the same stuff so if you are stuck on an topic, you may be able to find info about it here.
 
Last edited:
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Some of the links are dead.
 
Thanks and links fixed

Thanks dontdisturbmycircles for the kind words about the mathcasts and thanks minase for noticing the dead links - which hopefully are now fixed! LFS
 
Dear god, she did a problem with a constant voltage ('electric pressure')

What the...'electric pressure'.....sigh...
 
Systems Dynamics

Cyrus:

In Systems Dynamics 101, any system can be described using equations whereby an EFFORT variable induces a FLOW variable. These equations are usually only to 2nd order (2nd derivative.)

Some examples: Electrical voltage induces a current; current is affected by resistance. Pressure difference induces fluid flow -- which is affected by pipe friction. Temperature difference induces heat transfer -- which is affected by insulation. Difference of forces induces motion -- which is affected by rolling (or sliding) friction. Similarly for rotational momentum systems, diffusion systems, or any other system.

Make a chart of these various systems, their effort and flow variables and the governing equations for each. You will understand what she meant by "electrical pressure." BTW, it is common to use fluid flow analogies to describe electrical systems, and vice versa.
 

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