The angular momentum of the wheel around its center is

          L(wheel)  =  I(wheel) * omega  =  (0.5 * M * R^2) * omega


  We can treat the barbell like a point mass, since it is so much smaller
than the wheel.  In that case, the angular momentum of the barbell around 
the center of the wheel is 

        L(barbell)  =   I(barbell) * omega  =  (m * d^2) * omega

  
  The total angular momentum around the center of the wheel is

          L(total)  =   I(total) * omega   =  [ (0.5 * M * R^2) + (m * d^2) ] * omega


  The total kinetic energy of the objects is

        KE(total)  =    0.5 * I(total) * omega^2

                   =    0.5 * [ (0.5 * M * R^2) + (m * d^2) ] * omega^2