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Rotational Inertia of a Hoop and Bead

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A system consists of a thin hoop of mass M and radius R, and a small bead of mass m attached to its rim. What is the rotational inertia of the system about an axis passing through the center of the hoop and perpendicular to its plane?

A

MR² + mR²

B

MR² + m(2R)²

C

(M+m)R²

D

MR² + 2mR²

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