Lagrangian about rolling disk on a horizontal plane

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Homework Statement



upload_2017-3-18_21-39-22.png

Homework Equations

The Attempt at a Solution



This is the problem in Goldstein's classical mechanics exercise 1.11
I wonder why the solution doesn't consider rotational kinetic energy (1/2 I w^2)
So, L= T = 1/2mx^2 + 1/2 I w^2 .
 
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