Determine the polar moment of inertia of the area shown with respect to point O. Hint: your calculations should show J (semi-circle) – J (rectangle). For extra credit: Find the polar moment of inertia about the centroid of the area. Extra credit hint: Apply the PAT one time for the whole shape. Once you know “a" moment of inertia for a shape, you can apply the PAT to that shape. This is a "sneaky" way to find the moment of inertia about a centroid location. We can apply PAT to any shape – it does not have to be one of the standard shapes we find in a published table.) (Answer to check your work: Jo = 13.09(10®) in*) 12 in. 8 in. +6 in. 6 in.
Determine the polar moment of inertia of the area shown with respect to point O. Hint: your calculations should show J (semi-circle) – J (rectangle). For extra credit: Find the polar moment of inertia about the centroid of the area. Extra credit hint: Apply the PAT one time for the whole shape. Once you know “a" moment of inertia for a shape, you can apply the PAT to that shape. This is a "sneaky" way to find the moment of inertia about a centroid location. We can apply PAT to any shape – it does not have to be one of the standard shapes we find in a published table.) (Answer to check your work: Jo = 13.09(10®) in*) 12 in. 8 in. +6 in. 6 in.
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![Determine the polar moment of inertia of the area shown with respect to point O. Hint: your calculations
should show J (semi-circle) – J (rectangle).
For extra credit: Find the polar moment of inertia about the centroid of the area. Extra credit hint: Apply
the PAT one time for the whole shape. Once you know "a" moment of inertia for a shape, you can apply
the PAT to that shape. This is a "sneaky" way to find the moment of inertia about a centroid location.
We can apply PAT to any shape – it does not have to be one of the standard shapes we find in a published
table.)
(Answer to check your work: Jo = 13.09(103) in4)
12 in.
8 in.
6 in.
6 in.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9cd3616a-c577-437e-8e4f-24ec7d766a93%2F091d2b5c-49dd-4a32-9571-9b9d8a0e72d1%2F4mmagi8_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the polar moment of inertia of the area shown with respect to point O. Hint: your calculations
should show J (semi-circle) – J (rectangle).
For extra credit: Find the polar moment of inertia about the centroid of the area. Extra credit hint: Apply
the PAT one time for the whole shape. Once you know "a" moment of inertia for a shape, you can apply
the PAT to that shape. This is a "sneaky" way to find the moment of inertia about a centroid location.
We can apply PAT to any shape – it does not have to be one of the standard shapes we find in a published
table.)
(Answer to check your work: Jo = 13.09(103) in4)
12 in.
8 in.
6 in.
6 in.
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