A merry-go-round has rotational inertia I as it spins on a frictionless axle with angular speed wi . A security guard with mass m stands a distance R from its center, as illustrated. If the security guard walks to a position that is a distance R/3 from the center, what is the resulting angular speed wf of the guard and merry-go-round? Express your answer in terms of any or all of I, (.05 ,m, R, and physical or mathematical constants