1. The problem statement, all variables and given/known data The system shown in (Figure 1) consists of two balls Aand B connected by a thin rod of negligible mass. Ball Ahas three times the inertia of ball B and the distance between the two balls is ℓ. The system has a translational velocity of v in the x direction and is spinning counterclockwise at an angular speed of ω=2v/ℓ. 2. Relevant equations mArA = mBrB rA + rB = ℓ ω = 2v/ℓ vA = v - (2v/ℓ)rA vB = v + (2v/ℓ)rB 3. The attempt at a solution mArA = mBrB ; mA = 3mB 3mBrA = mBrB 3rA = rB rA + rB = ℓ rA + 3rA = ℓ 4rA = ℓ rA/ℓ =1/4 ω = 2v/ℓ vA = v(1 - 2rA/ℓ) = v(1 - 2/4) = (1/2)v vB = v(1 + 2rB/ℓ) = v(1 + 2(3rA)/ℓ) = v(1 +6rA)/ℓ) = v(1 + 6/4) = (3/2)v vA/vB = [(1/2)v]/[(3/2)v] = (1/2)/(3/2) = (1/2)x(2/3) = 1/3 1/3 is not the correct answer, where am I going wrong?