Define moment pf inertia. Name the factors on which the moment of inertia depend

Moment of inertia depends on

Define moment of inertia and radius of gyration

What do you understand by torque and moment of inertia ? Obtain the relation between torque and moment of inertia for a rigid body.

The mass of a body cannot be considered to be concentrated at the centre of mass of the body for the purpose of computing its moment of inertia. For then the moment of inertia of every body about an axis passing through its centre of mass would be zero.

Using the formula for the moment of inertia of a uniform sphere, find the moment of inertia of a thin spherical layer of mass m and radius R relative to the axis passing through its centre.

Figure shows a body of arbitrary shape 'O is the centre of mass of the body and mass of the body is M. If moment of inertia about axis CC is Icc'. then moment of inertia about axis AA' (I AA')will be equal to

(A) : Two circular discs of equal masses and thickness made of different material, will have same moment of inertia about their central axes of rotation. (R ) : Moment of inertia depends upon the distribution of mass in the body.

The diagram shows a uniform disc of mass M & radius ' a ', if the moment of inertia of the disc about the axis XY is I , its moment of inertia about an axis through O and perpendicular to the plane of the disc is

Two spheres of same mass and radius are in contact with each other. If the moment of inertia of a sphere about its diameter is I, then the moment of inertia of both the spheres about the tangent at their common point would be

Is moment of inertia a scalar quantity ?