# Problem: Two spheres, A and B, have the same mass and radius. However, sphere B is made of a dense core and a less dense shell around it. How does the moment of inertia of sphere A about its center of mass compare to the moment of inertia of sphere B about its center of mass? Ia. IA &gt; I B Ib. IA &lt; I B Ic. IA = I B If the two spheres are rolled down an incline from the same height simultaneously,  IIa. sphere A reaches the bottom first. IIb. sphere B reaches the bottom first. IIc. spheres A and B reach the bottom simultaneously. Choose the correct pair of statements. 1. Ic,IIa 2. Ib,IIc 3. Ib,IIb 4. Ia,IIb 5. Ia,IIa 6. Ic,IIc 7. Ib,IIa 8. Ic,IIb 9. Ia,IIc

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###### Problem Details

Two spheres, A and B, have the same mass and radius. However, sphere B is made of a dense core and a less dense shell around it. How does the moment of inertia of sphere A about its center of mass compare to the moment of inertia of sphere B about its center of mass?

Ia. IA > I B
Ib. IA < I B
Ic. IA = I B

If the two spheres are rolled down an incline from the same height simultaneously,

IIa. sphere A reaches the bottom first.
IIb. sphere B reaches the bottom first.
IIc. spheres A and B reach the bottom simultaneously.

Choose the correct pair of statements.

1. Ic,IIa
2. Ib,IIc
3. Ib,IIb
4. Ia,IIb
5. Ia,IIa
6. Ic,IIc
7. Ib,IIa
8. Ic,IIb
9. Ia,IIc 