Solving a problem in physics section 31 point 59 mecha

Solving a problem in physics section 31 point 59 mecha

59. The solid uniform cylinder of mass m and radius R of said rotation around its axis with angular velocity ω0, then put his side surface on the horizontal plane and provided himself. The coefficient of friction between the cylinder and plane is equal to k. Search:
a) the velocity of the cylinder when its movement enters pure rolling;
b) the time during which the motion of the cylinder will be slidably:
c) the overall performance of sliding friction.

Additional information:

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)