Q4. Pls help! Please SHOW ALL WORK FOR EACH PART OF THE QUESTION AND ROUND TO 4 SIGNIFICANT FIGURES! This is for a timed exam so please be legible! Will give thumbs up! Thanks

2. A horizontal platform in the shape of a solid disk rotates in a horizontal plane about a frictionless vertical axle. The platform's mass equals 200 kg with a radius of 3.0 m. A 45-kg hawk stands on the rim of the platform when its angular velocity equals 4 radians per second. Determine; a. The system's total initial angular momentum. b. The angular velocity of the system if the hawk flies off vertically and hovers above the platform with zero velocity. (Vhawk final = 0). c. The angular velocity of the system if the hawk returns and lands at a point located 1.5 m from the center