Solve the following question:
Question: An 86.1-kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.55 rad/s. A monkey drops a 8.79-kg bunch of bananas vertically onto the platform. They hit the platform at 4/5 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.5 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform.
Part A: Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.67 m.
I want help to determine the angular velocity of the platform with its load.