Two hollow cylinders have the same inner and outer diameters and the same mass, but they have different lengths because one is made of low density wood and the other of high density brass. Which cylinder has the greater moment of inertia about its cylindrical center axis?

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

from which we clearly see that   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.

adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.

both the fifth and fourteenth amendments of the united states contain a due process clause. while the fifth amendment describes a legal obligation of the federal government to not deprived of life, liberty or property without due process of law, the fourteenth amendment applies the same obligation to the states to guarantee that all of the states provide fair procedures as well.