Moment of inertia of cylinder with a rectangel shaped hole

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Discussion Overview

The discussion revolves around calculating the moment of inertia for a cylinder that has a rectangular hole, specifically focusing on the challenge of determining the inertia of the rectangular section when the plane is spinning perpendicular to the rotation axis.

Discussion Character

  • Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant states they can calculate the inertia for the cylinder but struggles to find the equation for the inertia of the rectangular hole when the plane spins perpendicular to the rotation axis.
  • Another participant asks for clarification on which axis is being considered for the moment of inertia and suggests checking a wiki page for information.
  • A participant notes that the provided wiki page only offers equations for the inertia about the x and y axes, indicating that their case involves an axis piercing the plane of the rectangle.
  • One participant proposes deriving the formula from first principles using double integrals, contingent on whether the other participant is familiar with that mathematical concept.

Areas of Agreement / Disagreement

The discussion remains unresolved, with participants expressing different levels of understanding and approaches to the problem without reaching a consensus on the solution.

Contextual Notes

There is uncertainty regarding the specific axis of rotation and the mathematical methods available to derive the necessary formulas, which may affect the calculations being discussed.

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i know how to calculate the inersia for the cylinder, than i have to take away the inersia of the rectangel, but i can't find an equation for the inersia for a rectangel with the plane spinning perpendicular to the rotation axis, please help !
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Which axis do you want?
Does this wiki page help? Have you looked anywhere else for this info?
 
sophiecentaur said:
Which axis do you want?
Does this wiki page help? Have you looked anywhere else for this info?
dont think so, they give me the equation for the inersia about the x and y axis, in my case the axis pierces the plane of the rectangel.
 

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