2. A badminton racket is basically a thin ring, the head, attached to the end ofthin handle. The length ofthe handle is about 45 cm and the radius of the head is about 11 cm. The mass ofthe racket is about 85 grams: the handle is 34 grams and the head is 51 grams. a. Find the moment of inertia for the racket is rotated about the end of the handle opposite ofthe head. b. A badminton player swings the racket with their outstretched arm, which has a length of 0.70 meters. The racket starts at rest directly behind the player and is swung in a quarter circle arc where the top of the head is now moving at 96 rad/s. What torque is needed to achieve this swing? Ignore the torques of gravity and air resistance.3