Systems of Part...

Two rings have their moments of inertia in the ratio 2 : 1 and their diameters are in the ratio 2 : 1. The ratio of their masses will be

The moment of inertia of a rectangular lamina about an axis perpendicular to the plane and passing through its centre of mass is

A rod of length L and mass is bent to form a semi-circular ring as shown in figure. The moment of inertia about XY is

If the moment of inertia of a disc about an axis tangential and parallel to its surface be I, then what will be the moment of inertia about the axis tangential but perpendicular to the surface

The moment of inertia of a solid cylinder of mass M and radius R about a line parallel to the axis of the cylinder and lying on the surface of the cylinder is

Three point masses m₁, m₂, m₃ are located at the vertices of an equilateral triangle of length \'a\'. The moment of inertia of the system about an axis along the altitude of the triangle passing through m₁, is

Three point masses each of mass m are placed at the corners of an equilateral triangle of side \'a\'. Then the moment of inertia of this system about an axis passing along one side of the triangle is

Three rods each of length L and mass M are placed along X, Y and Z axes in such a way that one end of each of the rod is at origin. The moment of inertia of this system about Z the axis is

ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. I_AB I_BC, I_CA are the moments of inertia of the plate about AB, BC, CA respectively. Which one of the following relations is correct?

Of two eggs which have identical sizes, shapes and weights, one is raw and the other is half-boiled. The ratio between the moment of inertia of the raw egg and that of the half-boiled egg about a central axis is