4. (25 points) The three-blade wind turbine shown is balanced and operating at 8 rad/s. Assume all of the blades are identical. Assume each blade is symmetric. Assume each blade has a mass of 200 kg and a center of mass located 5 m from the center of rotation. (1) Where is the total center of mass of the wind turbine? (2) What is the mass-radius product of Blade #3? (3) If Blade #3 breaks off, what is the amplitude of the shaking force induced by the remaining blades? 120% Blade #3 120° Blade #1 Blade #2 120°