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Please help me by solving it on paper. I don't want matlab script. A slender bent rod (as shown below) is hinged at O hanging

Please help me by solving it on paper. I don't want matlab script. image text in transcribed

A slender bent rod (as shown below) is hinged at O hanging freely. Determine the moment of inertia of the rod about an axis passing through the hinge O. Writing a MATLAB algorithm or code could be one option, else solve on paper

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