Disk moment of inertia example.

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tysonk
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A disk, cylinder shaped, of mass m and radius r is initially motionless on an ice rink. It has a massless string wound around it which you pull with a constant force F. After your hand has moved a distance d.

How far has the c.m. of the disk moved? If someone could show me how I could do this problem it would be appreciated.
 
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To add further I was able to solve this, but without getting rid of the parameter t. Still looking for some help...

x = (F/m)t^2/2
 
Hint: Compare the acceleration of the center of mass with the acceleration of a point at the top of the disk.