Answer:
Both cylinders will have the same moment of inertia.
Explanation:
The moment of inertia of a rigid body depends on the distribution of mass around the axis of rotation, i.e at what radius from the axis how much mass is located. What the moment of of inertia DOES NOT depend in is the distribution of mass parallel to the axis of rotation. This means that two hollow cylinders of the same mass but with different lengths will have the same moment of inertia!
For completeness, the momentum of inertia of a hollow cylinder is
[tex]I \approx mR^2[/tex]
from which we clearly see that [tex]I[/tex] only depends on the mass and the radius of the hollow cylinder and not on its height; Hence, both the wooden and the brass cylinders will have the same moment of inertia.
The two (2) hollow cylinders will have the same moment of inertia about their cylindrical center axis.
Moment of inertia is also referred to as the mass moment of inertia and it can be defined as a measure of the rotational inertia of an object or its resistance to angular acceleration about a reference axis.
Mathematically, the moment of inertia of a hollow cylinder is given by the formula:
[tex]I=mr^2[/tex]
Where:
From the above formula, we can deduce that the moment of inertia of a hollow cylinder is highly dependent on the distribution of mass around its axis of rotation (radius) rather than its height.
Read more on moment of inertia here: https://brainly.com/question/3406242
