The axis X and Z in the plane of a disc are mutually perpendicular and Y-axis is perpendicular to the plane of the disc. If the moment of inertia of the body about X and Y axes is respectively 30 kg `m^(2)` and 40 kg `m^(2)` then M.I. about Z-axis in kg `m^(2)` will be:

A uniform disc of mass 2kg is rotated about an axis perpendicular to the plane of the disc . If radius of gyration is 50cm, then the M.I. of disc about same axis is

If the moment of inertia of a ring about transverse axis passing through its centre is 6 kg m^(2) , then the M.I. about a tangent in its plane will be

The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the center is

The moment of inertia of a circular disc about an axis passing through the circumstances perpendicular to the plane of the disc is

The moment of inertia of a circular disc about an axis passing through its centre and perpendicular to the plane is 4 kg m^(2) . Its moment of inertia about the diameter is

A disc of radius 10 cm can rotate about an axis passing through its centre and perpendicular to its plane. A force of 10 N is applied along the tangent in the plane of the disc. If the moment of inertia of the disc about its centre is 5 kg m^(2) , then the increase in the angular velocity of the disc in 10 s will be

Moment of inertia of a disc about an axis which is tangent and parallel to its plane is I . Then the moment of inertia of disc about a tangent, but perpendicular to its plane will be

A quarter disc of radius R and mass m is rotating about the axis OO' (perpendicular to the plane of the disc) as shown. Rotational kinetic energy of the quarter disc is

The moment of inertia of a disc an axis passing through its centre and perpendicular to its plane is I kg m^(2) . Its moment of inertia about an axis coincident with the tangent to it is

Find the moment of inertia of a uniform half-disc about an axis perpendicular to the plane and passing through its centre of mass. Mass of this disc is M and radius is R.