A space station consists of two small blocks of mass m1=1.3 tons and m2=2.3 tons connected with a light cable of length 62 meters. It rotates in outer space about its center of mass with a period of 84 seconds. Suddenly, the cable is extended by 13 meters. What will be the new period of rotation after that happens?

what, no work of your own, on any of these? :-(