The moment of inertia of a disc, of mass $M$ and radius $R$, about an axis which is a tangent and parallel to its diameter is

$A$ solid sphere of mass $5 \text{ kg}$ and a disc of mass $4 \text{ kg}$ have the same radius. The ratio of the moment of inertia of the sphere about its tangent to the moment of inertia of the disc about a tangent in its plane will be $x : y$. The value of $x$ and $y$ respectively is

The moment of inertia of a sphere about its diameter is $40 \ kg \cdot m^2$. Find the moment of inertia about any tangent.

Seven identical discs are arranged in a planar pattern,so as to touch each other as shown in the figure. Each disc has mass $m$ and radius $R$. What is the moment of inertia of the system of six outer discs about an axis passing through the centre of the central disc and normal to the plane of all discs?

$A$ uniform disc of radius $R$ lies in the $x-y$ plane with its centre at the origin. Its moment of inertia about the $z$-axis is equal to its moment of inertia about the line $y = x + c$. The value of $c$ is

The moment of inertia of a uniform circular disc of radius $R$ and mass $M$ about an axis touching the disc at its diameter and normal to the disc is