Slipping Rolling Motion on Inclined Plane

[michelp]

TL;DR

I may have some problems with sign of convention and stuff

Attempt at solution and correct answer is attached. the linear acceleration indicates that the friction actually is in the same direction as linear speed.

Why is the angular acceleration anticlockwise here, against the direction of angular speed? Shouldn't angular speed increase? Please help

 

[Lnewqban]

Please, note that the value of the final angular velocity is 20t=24 rad/s.
The dynamic friction of the rotating-sliding cylinder with the rough inclined plane consumed part of the original rotational energy.

 

[michelp]

Please, note that the value of the final angular velocity is 20t=24 rad/s.
The dynamic friction of the rotating-sliding cylinder with the rough inclined plane consumed part of the original rotational energy.

I'm sorry, could you expand more on that?