Struggling with Calculus Problems in Systems Dynamics?

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The discussion centers on finding resources for solving calculus problems related to Systems Dynamics. A recommended website, mathcasts.org, offers a variety of instructional videos that may assist with specific topics, although not all links are functional. Users note that while the content is tailored to a specific textbook, it remains relevant for broader calculus concepts. The conversation also touches on the relationship between effort and flow variables in Systems Dynamics, illustrating how different systems can be analyzed through similar equations. Overall, the forum provides valuable insights and resources for those struggling with calculus in this context.
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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.
 
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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.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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