A thin, rectangular sheet of metal has mass M and sides of length a and b....

A thin, rectangular sheet of metal has mass M and sides of length a and b. Find the moment of inertia of this sheet about an axis that lies in the plane of the plate, passes through the center of the plate, and is parallel to the side with length b. Express your answer in terms of some or all of the variables M, a, and b

Find the moment of inertia of the plate for an axis that lies in the plane of the plate, passes through the center of the plate, and is perpendicular to the axis in part A.

Express your answer in terms of some or all of the variables M, a, and b.

Expert Solution

Please have a look at the solution below:

Here I have marked the length of AD as D

but in this problem D = a

Please replace D by a in the above solution.

Thus:

similarly:

Thus by perpendicular axis theorem:

genius_generous answered 4 months ago

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