2 mgx 2l+mgL =( 1/2)mVCVC+( 1/2)(2m)VBVB
VB=2VC
Under the root symbol, VC= 10gL/9.
The angular velocity under the root sign W=VC/L= 10g/(9L).
The mechanical energy increment of the ball at the B end is (1/2) (2m) vbvbvbvb-2mg2l = (1/2) (2m) x10g/(9l) x4-4mgl.
=(4/9)mgL