The moment of inertia of the wheel is I(wheel) = 0.5 * M * R^2 The angular momentum of the wheel around its center is L(wheel) = I * omega = I * 0 = 0 The angular momentum of the barbell around the center of the wheel is L(barbell) = m ( d x v ) = m * d * v sin(90) = m * v * d The total angular momentum around the center of the wheel is L(total) = m * v * d The total kinetic energy of the objects is KE(total) = 0.5 * m * v^2 + 0.5 * I * omega^2 = 0.5 * m * v^2 + 0