Question

The curve for the moment of inertia of a disc of
constant mass M versus distance of axis from its
centre ?​

Answer 1

Answer:

The moment of inertia about an axis passing through center of mass is called I

cm

=MR

2

and for an axis parallel

to the old axis at a distance x will be I=I

cm+Mx 2

, by Parallel axis theorem

As we can see that I

cm

is a constant. so the graph will be like the parabola x 2

=4ay shifted in +y direction.

So the I versus graph will be like that in option B.

Answer 2

The moment of inertia about an axis passing through center of mass is called I

cm =MR ²

and for an axis parallel

to the old axis at a distance x will be I=I cm +Mx²

, by Parallel axis theorem

As we can see that I cm is a constant. so the graph will be like the parabola x² =4ay shifted +y direction.

So the I versus graph will be like that in option B.

HOPE THIS HELPS YOU ❤️