The solid cylinder has an outer radius R, height h, and is made from a material having a density that varies from its center as k ar 2 , where k and a are constants Determine the mass of the cylinder and its moment of inertia about the z axis N R h...

Consider a shell element of radius r and ma ...

The solid cylinder has an outer radius R, height h, and is made from a material having

Question:

The solid cylinder has an outer radius R, height h, and is made from a material having a density that varies from its center as ρ = k + ar², where k and a are constants. Determine the mass of the cylinder and its moment of inertia about the z axis.