4-2. A double pulley, with a mass of  and a radius of gyration around its center of , consists of two parts connected to each other. The portion with  is connected to block  B, , while the portion with is connected to block  A, . If the weight of the cables is negligible and they do not slip, find the kinetic energy of the system when  clockwise.

Solution:

 

 

 

 

 

 

Therefore,  .                                        Ans.