A physical pendulum has length L = 1.45 m is attached to a frictionless pivot as ⚫shown. The pendulum has non-constant density where the upper end is three times denser than the bottom end, i.e. Atop = 3λbottom: The pivot is located a distance h = 12 Lm below the upper end of the pendulum. The pendulum is lifted an angle of 0 = 12.1° and released from rest. (a) What is the translational velocity of the center of mass of the pendulum at the pivot bottom of the swing? What angle does this velocity vector make with the vertical direction? (b) What is the translational velocity of the bottom tip of the pendulum at the moment that gravitational potential energy is 26.5% of its maximum? (c) What is the magnitude of the translational acceleration at a point located 0.41 m below the pivot at the moment that the translational velocity is half its maximum?