Balance this system with two weights wa and wb in the

Question

The crankshaft of Fig. 10.33 has four equal cranks at 90° and spaced 100 mm apart. Each crank is equivalent to 18 N at a radial distance or 50 mm. Calculate the bearing reactions due to the inertia forces if the shaft is run at 3000 rpm. Balance this system with two weights W_A and W_B in the planes of W₁ and W₂, respectively, and at a radial distance of 50 mm. Determine W_A and W_B, and show their positions.