Sierpinski carpet - Moment of inertia

[zl64c]

Hi, its my first post here, so i say HI :D
hm, i have a little problem with moment of interia. I know, that sierpinski carpet has no area and that's why with normal situation it also has not moment of interia (MoI). but now, i have special situation: mass - m, and length a. O and O' is perpendicular to the plan. i think is simple integral but maybe I am wrong? waiting for any ideas or any integrals to calc( love it ) :D:D

greetings form Poland

 

[Avodyne]

Welcome to the forum!

I'm sorry to say that I don't understand your question. What exactly are you trying to compute?

 

[rock.freak667]

Well what I am seeing is that it is basically a large square with squares in it cut out. So you can find the moment of inertia of the entire large square and then subtract the moments of inertia of the smaller squares (which may be a bit tedious as it looks)

 

[zl64c]

Well what I am seeing is that it is basically a large square with squares in it cut out. So you can find the moment of inertia of the entire large square and then subtract the moments of inertia of the smaller squares (which may be a bit tedious as it looks)

yes, that's true. But i know how to calc MoI only Jx and Jy and here i have axis z. that's a problem.

 

[rock.freak667]

yes, that's true. But i know how to calc MoI only Jx and Jy and here i have axis z. that's a problem.

By the perpendicular axis theorem, I_z=I_x+I_y

 

[zl64c]

i just calced it. thanks

 

[Borek]

Not too nice:

https://www.physicsforums.com/showthread.php?t=345703