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## Homework Statement

A non uniform disc of radius R has a mass of M. Its centre of gravity is located at a distance x from the centre. Find the moment of inertia of mass (moi) around the axis perpendicular to the surface passinf through the centre of gravity.

## Homework Equations

Parallel axis theorem

Ioo = Igg + m[r^2]

Ioo = moi around axis required

Igg = moi around axis through centre of gravity

m = mass of the object

r = distance between the 2 axises(?dont know the plural)

Moi around the centre of a uniform disc

1/2m[r^2]

## The Attempt at a Solution

[/B]I assumed that since Ioo = 1/2M[R^2]

Then using parallel axis theorem i took

Igg =1/2M[R^2] - M[x^2]

The problem is you can get a negative answer for Igg for certain x(>R/root2). So i think im wrong some where in my assumptions. Can someone please clarify

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