In the analysis of Rotational Motion, moment of inertia plays a very important role. This is because all applications of rotational motions are based on inertial properties of bodies including momentum, kinetic energy, and effect of torque applied on body.

As moment of inertia of a point mass in circular motion is given by product of mass, and the square of radius of circular motion, for any extended body we can integrate the moment of inertia of an elemental mass considering within the body.

Now we will discuss the calculation of moment of inertia of some standard objects. These objects are very frequently used in different types of numerical applications and understanding the calculation process of the moment of inertia of these objects also help in handling  tougher cases of the moment of inertia and analysis related to it.

See all the videos below for calculation of moment of inertia of the objects attached below:

Moment of Inertia of a Ring – https://youtu.be/Zqt8JSgt_Cc

Moment of Inertia of a Disc – https://youtu.be/SaDlhu9ruLk

Moment of Inertia of a Hollow Sphere – https://youtu.be/dEuWnickhVM

Moment of Inertia of a Solid Sphere – https://youtu.be/_hD1GpbsMtY

Moment of Inertia of a Hollow Cone – https://youtu.be/8ziJNdbbw60

Moment of Inertia of a Solid Cone – https://youtu.be/8kNPR0vsT1w

Moment of Inertia of a thin Rod – https://youtu.be/aMrryEUyGKw