A frozen-juice can rests on the horizontal rack of a freezer door as shown. With what ma...

A frozen-juice can rests on the horizontal rack of a freezer door as shown. With what maximum angular velocity can the door be “slammed” shut against its seal and not dislodge the can? Assume that the can rolls without slipping on the corner of the rack, and neglect the dimension d compared with the 500-mm distance.