Moment of inertia of triangle rotated about y axis

AI Thread Summary
To find the moment of inertia of a triangle rotated about the y-axis, triple integrals are necessary to account for the mass distribution. The integrand should represent the mass element dm at a distance r from the rotation axis. The limits of integration will depend on the specific dimensions and orientation of the triangle. A detailed setup is required to properly calculate the moment of inertia, but assistance cannot be provided directly due to forum policies. It is essential to understand the integration process and apply it to the triangle's geometry for accurate results.
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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