The moment of inertia of a circular disc of mass  and radius  about an axis passing through the centre of mass is . The moment of inertia of another circular disc of same mass and thickness but half the density about the same axis is

Consider two uniform discs of the same thickness and different radii  and  made of the same material. If the ratio of their moments of inertia  and , respectively, about their axes is  then the value of  is :

From a solid sphere of mass  and radius  a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its center and perpendicular to one of its faces is

Two discs rotating about their respective axis of rotation with angular speeds  and  are brought into contact such that their axes of rotation coincide. Now, the angular speed of the system becomes . If the moment of inertia of the second disc is , then the moment of inertia of the first disc (in  ) is

Two bodies have their moments of inertia  and  respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio

64. M.I of a circular loop of radius  about the axis in figure is                              

64. A rod of mass  and length  is bent in to shape of . Its moment of inertia about the axis shown in figure

The moment of inertia of a hollow thick spherical shell of mass  and its inner radius  and outer radius  about its diameter is

The moment of inertia of a uniform semicircular wire of mass  and radius , about an axis passing through its centre of mass and perpendicular to its plane is  then find the value of

64. Four masses are fixed on a massless rod as shown in the adjoining figure. The moment of inertia about the dotted axis is about