Systems of Part...

Two balls each of mass m are placed on the vertices A and Bof an equilateral triangle ABC of side 1 m. A ball of mass 2m is placed at vertex C. The centre of mass of this system from vertex A (located at origin) is

Four thin rods of same mass M and same length l, form a square as shown in the figure. Moment of inertia of this system about an axis through centre O and perpendicular to its plane is

A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains I. Then, radius of the disc will be

A thin wire of length l having density ρ is bent into a circular loop with C as its centre, as shown in the figure. The moment of inertia of the loop about the line AB is

A lamina is made by removing a small disc of diameter 2R from a bigger disc of uniform mass density and radius 2R, as shown in the figure. The moment of inertia of this lamina about axes passing through 0 and P is I_o and I_p , respectively. Both these axes are perpendicular to the plane of the lamina.

Each of the body in List I shows the moment of inertia about its diameter in List II. Select the correct answer (matching List I with List II) as per code given below the lists.

One solid sphere A and another hollow sphere B are of same mass and same outer radius. Their moments of inertia about their diameters are respectively I_A and I_B such that
Note: d_A and d_B are their densities.

The moment of inertia of a thin uniform rod of length L and mass M about an axis passing through a point at a distance of 1/3 from one of its ends and perpendicular to the rod is