2-36. The 10-kg block B has an initial downward velocity . Block A is 8-kg and the mass of the pulleys and cords is negligible. If the coefficient of kinetic friction between the horizontal plane and block A is , determine the velocity of A when . Assume  and  are independent.

Solution:

 

Block A  

Block B  

Since  and ,

Solving above equations, we have

 

Therefore, .                               Ans.