Question

the moment of inertia of a uniform disc about his axis is 1/2 MR² then what will be the moment of inertia about his diameter.​

Answer 1

Answer:

Let M and R be the mass and radius of the disc respectively.

Moment of inertia about AB is I.

Moment of inertia about an axis passing through O and perpendicular to the plane, I

O

=

2

1

MR

2

Moment of inertia about an axis passing through C and perpendicular to the plane, I

C

=I

O

+MR

2

I

C

=3I

O

Using perpendicular axis theorem, ⟹I

O

=2I

Thus I

C

=6l