You and a friend with identical mass m stand on a massless merry-go-round of radius R that is free to rotate without friction about its axis. You are standing a distance R/2 from the center of the merry-go-round, and your friend is standing on the edge. Your friend begins to run along the edge of the merry-go-round at speed vo relative to the ground, while you remain stationary with respect to the merry-go-round. Top View y Side View R R2 R Wo X R2 a. At what angular velocity do you rotate? b. What friction force is required for you to maintain this motion without slipping?