Ann, Sam and you have a hula hoop that is 1.02 m in diameter and has a mass Mh = 2.0 kg. You see both Sam and Ann motionless in space a distance D = 23.6 m apart and oriented in the same direction as each other, parallel head to toe along a line joining their centers of mass. Ann is holding the hula hoop motionless, centered on her body, but decides to throw it 'up' to Sam, giving the hula hoop a spin in the process. You observe the hula hoop moving between Ann and Sam with a translational speed vh = 3.9 m/s and spin of frequency fh = 2.5 revolutions/sec. Sam catches the hula hoop and holds it as shown. Sam has a mass Ms = 90 kg and a moment of inertia about his axis Is = 0.65 kg-m2 . Ann has a mass MA = 65 kg and a moment of inertia about her axis of IA = 0.55 kg-m2 . After Sam catches the hula hoop, you see both Sam and Anne spinning and moving away from each other. Calculate their translational velocities vA and vS and the frequencies fS and fA at which they are spinning .
