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Solve the following questions given below:

Question I: What is the moment of inertia relative to the center of mass of a 25.0 kg hoop with a radius of 2.0m?

Question II: What is the moment of inertia relative to the center of mass of a 25.0 kg solid sphere with a radius of 2.0m?

Question III: What is the moment of inertia relative to the center of mass of a 25.0 kg thin spherical shell with a radius of 2.0m?

Question IV: What is the moment of inertia relative to the center of mass of a 25.0 kg thin rod with a length of 2.0m?

Question V: What is the moment of inertia relative to one end of a 25.0 kg thin rod with a length of 2.0m?

Please show your results in detailed calculations for above questions.

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