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. I_{A} > I _{B}

Ib. I_{A} < I _{B}

Ic. I_{A} = 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

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Moment of Inertia concept. You can view video lessons to learn Intro to Moment of Inertia. Or if you need more Intro to Moment of Inertia practice, you can also practice Intro to Moment of Inertia practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Jeffery took 3 minutes and 54 seconds to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Florin's class at TEXAS.