I Radius of Gyration: Definition & Uses

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The radius of gyration is a measure used in physics and engineering to describe the distribution of mass around an axis, influencing the stability and dynamics of rotating bodies. It is relevant in various applications, including mechanical systems like ferris wheels and merry-go-rounds. The discussion encourages participants to share their prior research and specific questions to facilitate tailored responses. Understanding the radius of gyration may require a background in calculus and physics. Engaging with foundational texts, such as those by Sears and Zemansky, is recommended for deeper comprehension.
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What is the radius of gyration and how is it used?
 
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Cstru said:
What is the radius of gyration and how is it used?
Welcome to PF. :smile:

We ask that you show us the reading you've been doing so far to try to answer your question. Can you post links to the reading you've been doing about this subject, and ask specific questions about that reading?

Also, it would help to know a bit about your math/science background, so that we can tailor the replies to your current level in school. You've marked this thread with an "I" = Intermediate / undergraduate level for the discussion -- Have you had any calculus (especially vector calculus) yet?
 
Thread 'The rocket equation, one more time'

Thread 'The rocket equation, one more time'

I already posted a similar thread a while ago, but this time I want to focus exclusively on one single point that is still not clear to me. I just came across this problem again in Modern Classical Mechanics by Helliwell and Sahakian. Their setup is exactly identical to the one that Taylor uses in Classical Mechanics: a rocket has mass m and velocity v at time t. At time ##t+\Delta t## it has (according to the textbooks) velocity ##v + \Delta v## and mass ##m+\Delta m##. Why not ##m -...
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