Question

Find moi of hemisphere about parallel axis and passing through COM

Answer 1

Hello ☺




Please refer to the attachment above





Thank you

Answer 2

The moment of inertia of a solid sphere of mass M about its center is

If you cut off the bottom half of the sphere you will have half the inertia, so

But since the mass of half the sphere , it follows that the moment of inertia of a hemisphere of mass is

(note the distinction between lower case for the mass of the hemisphere and upper case for the mass of the full sphere).

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