Problem 7 (10 points): An ice skater (figure skating) moves their arms and legs around to be able to rotate faster and slower at will. Let us model an ice skater as 3 masses Mbody (circular disk of radius R, Mass M), Mleft hand (circular disk of radius r, mass m located), and Mright hand (circular disk of radius r, mass m). Now if all masses are rotating about the center of Mbody with angular velocity w, how close should the hands be (assuming symmetrically placed with respect to the body) for the figure skater to be rotating with an angular velocity of 2w 3 Mright hand Mbody Mjeft hand