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

Equal torques act on the discs A and B of the previous problem, initially both being at rest. At a later instant, the linear speeds of a point on the rim of A and another point on the rim of B are and respectively. We have

A closed cylindrical tube containing some water (not filling the entire tube) lies in a horizontal plane. If the tube is rotated about a perpendicular bisector, the moment of inertia of water about the axis

Let I₁ and I₂ be the moments of inertia of two bodies of identical geometrical shape, the first made of aluminum and the second of iron.

A body having its center of mass at the origin has three of its particles at (a,0,0) (0, a,0), (0,0, a). The moments of inertia of the body about the X and Y axes are

0.2 kgm² each. The moment of inertia about the Z-axis