APFIVE Moment of Inertia of a Composite Body
A system consists of a uniform solid sphere of mass M and radius R, with a thin ring of mass M/2 and radius 2R attached to it such that they share the same center and the ring lies in the equatorial plane of the sphere. What is the total moment of inertia about their common axis?
A
M(2/5 + 2)R²
B
(2/5)MR² + (M/2)R²
C
M(2/5 + 1)R²
D
(2/5)MR² + 2MR²
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