Could you please give the problem statement in full?
There is a disk,it is ONE piece.It has a large diam and small diam.
The small dia rolls on a desk to the right.The large dia section does not touch the desk,but has a tangential acceleration as shown.
That is all that is known .
Find the accelleration of centre of the disk.
I think the thing to do is to find out the angular acceleration . Once you do that, you employ the (assumed) condition that the inner wheel rolls without slipping in order to translate the angular acceleration to linear acceleration. I do not think you have correctly computed the angular acceleration, although you have the correct general equation there:
Try computing that again. What do you get?
Thanks for that ,appreciated,I worked it out
ans is 15m/s^2 to the left
5m/s^2=r alpha
where r =(2-1.5) /2 (because where disk touches desk accell is 0 in the x directions) ie 5m/s^2 wrt desk.
alpha=20
accell of ctr = 20*1.5/2