
Describe the term moment of inertia of hollow cylinder?
Important Questions on Systems of Particles and Rotational Motion



The moment of inertia of a uniform horizontal solid cylinder of mass about an axis passing through its edge and perpendicular to the axis of the cylinder, when its length is times its radius , is


The solid cylinder of length and mass has a radius of Calculate the density of the material used if the moment of inertia of the cylinder about an axis parallel to as shown in figure is .




Three solid spheres each of mass and diameter are stuck together such that the lines connecting the centres form an equilateral triangle of side of length . The ratio of moment of inertia of the system about an axis passing the centroid and about center of any of the spheres and perpendicular to the plane of the triangle is:


Three identical spherical shells, each of mass and radius are placed as shown in the figure. Consider an axis which is touching the two shells and passing through the diameter of the third shell. The moment of inertia of the system consisting of these three spherical shells about axis is:



A uniform solid cylinder with radius and length has moment of inertia , about the axis of cylinder. A concentric solid cylinder of radius and length is carved out of the original cylinder. If is the moment of inertia of the carved out portion of the cylinder then __________.
(Both and are about the axis of the cylinder)






