Challenge Problem 2 A physical pendulum has length L = 1.60 m and is attached to a frictionless pivot at one end, as shown. The pendulum is a rod of nonconstant density where the far end from the pivot is three times denser than the end at the pivot, i.e. Abattom = Blimp where Amp = 3.10 kg/m. At the instant to = 0 s, the pendulum is lifted an angle of 9., = 9.03 and given an initial angular velocity of (on = 1.29 rad/s in the clockwise direction. [a] What is the angular velocity of the of the pendulum after 9/5 of the period, T, of the pendulum has elapsed since to? (b) What is the rst instant after to that the rotational kinetic energy of the pendulum is equal to 90.0% of its total mechanical energy, i.e what is t when Kmt = 0-90 ' Em? (c) What is the magnitude of the tension force acting at the center of mass of the pendulum at time t = 1.4-3 5? pivot \\ c513