Question: I need help explaining how to calculate these two - especially explaining how you find the moment of inertia and why you're adding certain things

I need help explaining how to calculate these two

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especially explaining how you find the moment of inertia and why you're adding certain things and where the numbers in the calculations are coming from and everything. Please help explain thoroughly as I struggle to understand the concept. Please don't put in numbers in an equation without explaining the equation or why youre doing a certain thing, especially when adding up the inertias.

I need help explaining how to calculate these two

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