An ice-skater, with a mass of 60.0 kg, glides in a circle of radius 1.4 m with a tangentia...

An ice-skater, with a mass of 60.0 kg, glides in a circle of radius 1.4 m with a tangential speed of 6.0 m/s. A second skater, with a mass of 30.0 kg, glides on the same circular path with a tangential speed of 2.0 m/s. At an instant of time, both skaters grab the ends of a lightweight, rigid set of rods, set at 90° to each other, that can freely rotate about a pole, fixed in place on the ice. (a) If each rod is 1.4 m long, what is the tangential speed of the skaters after they grab the rods? (b) What is the direction of the angular momentum before and after the skaters “collide” with the rods?