Angular acceleration of off balance wheel starting from rest

[Arin]

Homework Statement

A 30 kg wheel has a center of mass 0.1 m left from the center of the wheel and radius of gyration KG = 0.15 m. Find the angular acceleration if the wheel is originally at rest. The radius of the wheel is 0.25m.

Homework Equations

I=mk^2
T=f*d
M=I*a
Fn acting bottom in Y direction = m*g

The Attempt at a Solution

I=mk^2=(30)*(15^2)=0.675kg*m^2
Fx=0

Fn=(30*9.81)=294.3N
Sum of force in Y: Fn-mg=mass*angular acceleration*radius to center
294.3-294.3=30*a*0.1

Moment about center =ig*a*radius to center of mass
(294.3*.1)=(.675)*a*.1

... lost from here?

Apparently answer is 10.3 rad/s^2

Help please! Been working on this for hours

 

[NascentOxygen]

I think we need the complete problem statement as it was provided to you, including the illustration. [emoji998]