Moment of inertia of triangle rotated about y axis

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Homework Help Overview

The discussion revolves around calculating the moment of inertia of a triangular shape when rotated about the y-axis. The original poster expresses uncertainty about the appropriate integrand and limits for setting up the triple integrals necessary for the calculation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need for triple integrals and the contributions of small masses within the triangle to the moment of inertia. Questions arise regarding the setup of the integrals, including the integrand and limits. Some participants express a desire for more direct guidance due to time constraints.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the concept of integrating contributions from small masses, but there is no consensus on the specific setup of the integrals. The urgency expressed by some participants indicates a need for clarity and direction.

Contextual Notes

Participants mention time constraints due to upcoming exams, which may influence their ability to engage deeply with the problem. There is also a reference to forum policies that restrict the level of assistance that can be provided.

Carnivroar
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Similar to my other thread https://www.physicsforums.com/showthread.php?t=557750

I think in this case I need to use triple integrals

But what is the integrand and limits?

Can someone please help me set it up?

Here's all I know

Code:
∫∫∫dydx

Please help I have my final next wednesday.
 
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Find the moment of inertia. What is the moment of inertia of a point mass dm at distance r from the rotation axis? The triangle consist of small masses, and you need to integrate their contribution.
ehild
 
I don't know :(
 
I have 6 exams this week and my physics exam is tomorrow so please just walk me through this problem. I have no time left to spend trying to figure it out.
 
Last edited by a moderator:
Carnivroar said:
I have 6 exams this week and my physics exam is tomorrow so please just walk me through this problem. I have no time left to spend trying to figure it out.

I can not do, sorry. The policy of the Forums does not allow it.

ehild
 

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