Systems of Part...

The moment of inertia of a circular disc of radius 2m and mass 1 kg about an axis passing through its centre of mass and perpendicular to plane is 2 kg–m². Its moment of inertia about an axis parallel to this axis and passing through its edge in kg–m² is

The moment of inertia of a circular ring of mass 1 kg about an axis passing through its centre and perpendicular to its plane is 4 kg–m². The diameter of the ring is

From a circular ring of mass M and radius R, an are corresponding to a 90° sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is k times MR². Then the value of k is

Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is I. What is the moment of inertia about its diameter?

One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively I_A and I_B such that
where d_A and d_B are their densities.

Point masses 1, 2, 3 and 4 kg are lying at the point (0, 0, 0), (2, 0, 0), (0, 3, 0) and (–2, – 2, 0) respectively. The moment of inertia of this system about x-axis will be

A ring of mass m and radius r is melted and then moulded into a sphere. The moment of inertia of the sphere will be

A solid sphere and a hollow sphere of the same material and of a same size can be distinguished without weighing

Two rods each of mass m and length l are joined at the centre to form a cross. The moment of inertia of this cross about an axis passing through the common centre of the rods and perpendicular to the plane formed by them, is

From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is