A yoyo can be approximated as a solid cylinder of mass m, radius R and thickness d. Two identical such yoyos have their strings tied together and are wound so that the two yoyos are touching each other. These stuck together yoyos are ejected into deep space far from any other objects. Shortly after being ejected, the center of mass of the yoyos have an initial velocity ū as indicated in the diagram. At this instant, the stuck together yoyos are rotating about the center of mass counterclockwise with an angular speed Wil. As the yoyos fly through space the strings unwind so that at some later time all of the string has unwound from each yoyo. At this time, the velocity of the center of mass is ū and the distance between the center of the yoyos is d. Determine the unknown angular velocity (magnitude and direction) of the center of mass for the tied together yoyos. You can neglect the mass of the string and you can assume that the yoyos are tied to the string so that the string is not slipping on the axle of the yoyo