Two children each with mass M=30kg sit on opposite ends of a beam of mass m=50kg and length L=2.0m that is free to rotate in a horizontal circled about it's center. (I=1/3mL3). You can treat the children as point-like particles (all their mass concentrated at a single point). The beam is initially rotating with angular velocity w = 1.3rad/s. a. What will the angular velocity be if the children slide to the center of the beam (at the rotation axis). [NOTE: The kids and the beam exert torques on each other, but if you consider the whole system, those torques are INTERNAL.]Is Kinetic Energy conserved? Explain A b. Is Kinetic Energy conserved? Explain