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Help me out /sci/. I just had this test where I needed to calculate

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  3. Help me out /sci/. I just had this test where I needed to calculate
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Anonymous
2017-06-16 08:17:55 Post No. 8979405
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Anonymous 2017-06-16 08:17:55 Post No. 8979405 [Report]
Help me out /sci/. I just had this test where I needed to calculate the moment of intertia of a thin plate of mass M cut in the shape of an equilateral triangle of side length L as it rotates around one of its vertices (the axis of rotation is parallel to the C' axis shown in the pic).

I got [math]\frac{11}{12}ML^{2}[/math] but it doesn't seem right.
>>
Anonymous 2017-06-16 09:46:29 Post No.8979604
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Anonymous 2017-06-16 09:46:29 Post No.8979604 [Report]
>>8979405
you could take the moment of inertia of a hexagon around its center and divide by 6. I got (5/24)ML^2. you could verify this with some chart online or any CAD program
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