Question #b9bfa

1 Answer
Aug 23, 2017

This depends on the axis of rotation. See below.

Explanation:

The moment of inertia for any shape depends on the rotation axis.

The moment of inertia of a hollow cylinder about its axis of symmetry (assumed to have negligible thickness) is the same as that for a "hoop" through its own axis of symmetry (see table below)

#color(blue)(I=MR^2)#

By the parallel axis theorem, if the axis of interest is a distance #d# from a parallel axis through the center of mass, the moment of inertia is given by

#color(blue)(I=I_"cm"+Md^2)#

HyperPhysics