HW$05\mathrm{.}2-$ Textbook Problem $17\mathrm{.}26$

A solid cylindrical disk with radius $400$ mm and mass $100$ kg is to be raised over a $200$ mm obstruction. A cable is wrapped around the disk and pulled with a constant horizontal force with magnitude $\backslash ($ T$=260\backslash$mathrm$\{$~N$\}\backslash )$ as shown. Knowing that the corner of the obstruction at point A is rough, determine the angular velocity of the disk when it has reached the top of the obstruction.