Which of the following has the largest moment of inertia?
A)A cylinder of mass M with a radius R rotating about its central axis.
B)A hoop of mass M with a radius R rotating about the axis perpendicular to the plane of the hoop and passing through its center.
C)A hoop of mass M with a radius R rotating about a line through its diameter and parallel to the plane of the hoop.
D)A cube of mass M and sides 2R rotating about a line passing through the center of two opposite sides.
E)A rod of mass M and length 2R rotating about a line passing through the center and perpendicular to the rod.

Question

Quizplus · Accepted Answer

The moment of inertia for a hoop rotating about an axis perpendicular to its plane and through its center is MR^2, which is larger than the moments of inertia for the other objects given the same mass and radius/length.

Which of the Following Has the Largest Moment of Inertia