Finding Center of Mass and Moment of Inertia for a Hemispherical Shell

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Discussion Overview

The discussion revolves around finding the center of mass and moment of inertia for a thin hemispherical shell of radius R and mass M, specifically for rotations about an axis through the origin and along the axis of symmetry. The scope includes theoretical understanding and problem-solving approaches related to physics and mathematics.

Discussion Character

  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant asks whether the problem can be treated similarly to that of a sphere and seeks guidance on how to approach it.
  • Another participant suggests that the original poster should attempt to solve the problem independently, noting that there are existing resources and examples available.
  • A subsequent reply expresses frustration at the lack of prior attempts to solve the problem, emphasizing that challenging math problems require time and effort to resolve.
  • The original poster acknowledges their lack of knowledge on the topic and expresses gratitude for the responses received.

Areas of Agreement / Disagreement

Participants generally do not agree on the approach to the problem, with some emphasizing the importance of independent problem-solving while others express understanding of the original poster's difficulties.

Contextual Notes

There is an implied expectation that participants should attempt problems before seeking help, but the specific methods for calculating the center of mass and moment of inertia remain unresolved.

jlmac2001
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Find the position of the cnter of mass and moment of inertia for rotations about an axis through the origin and along axis of symmtry of a thin hemisphericl shell of radius R and mass M whose center is at the orgin.

For this problem, would I treat is kinda like a sphere? How would I do something like this?
 
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If you keep posting every question you're set in this course you're going you're going to get some nastier responses than this.

There have been several responses showing you how to find moments of inertia; perhaps it's time you solved this one on your own? You have the formulae, you've seen the examples, show us what you've done so far.
 
sorry

If I knew how to do it, i would not have posted. Thanks anyway.
 
lots of people post without actually attempting to solve the problem first. Maths problems aren't supposed to be easy, and once you're onto sufficiently hard material then it should take you quite a while to solve the problems. don't give up instantly, which is what most people do when they don't see the solution immediately. that isn't how maths really works.

there seems to have been a spate of people posting messages that read 'for god's sake don't be so lazy/stupid', but slightly more confrontationally, recently, so I thought I'd warn you you might get some answers you didn't want.

so, how do you think you do the question? where would you start, where do you get stuck?

matt
 

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