Concept #1: Parallel Axis Theorem

The moment of inertia of a 1.7 kg object about its center of mass is measured to be 150 kgm2. What would the moment of inertia be for a parallel axis 15 cm from the center of mass?

A smaller disk of mass 0.15 kg sits atop a larger disk of mass 0.5 kg as shown in the figure. If the system rotates about the axis shown with an angular speed of 150 rad/s, what is the moment of inertia of the system?

A massless rod of length L has a mass m fastened at one end and a mass 2m fastened at the other end. What is the ratio of the moment of inertia about an axis through the mass m to the moment of inertia through the center of the rod?
1. 3/2
2. 4/3
3. 3/4
4. 2
5. 8/3
6. 3/8
7. 2/3
8. 1/2

Find the moment of inertia of a solid sphere of mass M = 5 kg and radius R = 0.2 m about an axis that is tangent to the sphere.
1. 4.116
2. 0.28
3. 4.032
4. 0.441
5. 0.63
6. 0.504
7. 0.378
8. 2.52
9. 2.772
10. 0.448