1 . A trapeze artist performs an aerial maneuver. While in a tucked position, as shown in figure A, she rotates about her center of mass at a rate of 5.55 rad/s. Her moment of inertia about this axis is 16.1 kg.m. A short time later, the aerialist is in the straight position, as shown in figure B. If the moment of inertia about her center of mass in this position is now 30.1 kg.me, what is her rotational speed in revolutions per minute (rpm) ? 2.9686 rotational speed: rpm Figure A Figure B Incorrect 2. A 81.1 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 8.41 kg bunch of bananas vertically onto the platform. They hit the platform at 5 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.3 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.81 m. angular velocity: rad/s 3. A planet is in an elliptical orbit around a distant star. At periastron (the point of closest approach to the star), the planet is p = 3.50 X 10% km from the star and is moving with a speed of Up = 19.5 km/s. When the planet is at apastron (the point of greatest distance from the star), it is a = 9.50 x 10 km from the star. How fast is the planet moving at apastron? va = km/s