Analysis of the Rotation of Pulleys

In the working of pulleys,the tension of the ropes does not act on the pulleys directly.In our analysis of the rotation of the fast pulley and movable pulley,we have found the tension just takes an indirect effect in this process after being converted into the form of a friction torque or supportive torque.What is more,the friction torque takes an effect all the way in the rotation of the pulleys.