Alan, Barry, and Catherine stand on the edge of a merry-go-round (MGR). Take the mass of the MGR to be 100 kg, its radius to be 1.60 m, and its angular velocity at the moment to be 23.0 rpm. Alan, Barry, and Catherine have masses of 22.0, 30.0, and 35.0 kg, respectively. Calculate the resulting angular velocity if Barry were to walk towards the center of the MGR. Note: Use g = 9.8 m/s2. You may find the following information useful. The moment of inertia of a disk is ICM = (1/2)MR2, where M is the mass of the disk and R is its radius