Question

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 ????
solve it plzz

Answer 1

Consider the situation shown in the below figure.



As we know the moment of inertia of the circular disc of mass m and radius R about its own axis passing from the centre and perpendicular to the plane is.

Icm=12mR2

So, the moment of inertia of the disc about the axis passing through its edge and perpendicular to its plane can be calculated by using parallel axis theorem.

I=Icm+md2=12mR2+mR2⇒I=32mR2

 

Hope this information will clear your doubts about the topic.