Answer the following questions:

A hoop, a solid cylinder, a solid sphere, and a thin spherical shell each has the same mass of 2.28 kg and the same radius of 0.194 m. Each is also rotating about its central axis with an angular speed of 36.0 rad/s. What is the magnitude of the angular momentum of each object? (Enter your answers in kg . m /s.) (a) hoop kg . m2/s (b) solid cylinder kg . m2/s (c) solid sphere kg . m2/s (d) thin, spherical shell kg . m2/sA baseball has a mass of 0.15 kg and radius 3.7 cm. In a baseball game, a pitcher throws the ball with a substantial spin so that it moves with an angular speed of 39 rad/s and a linear speed of 43 m/s. Assuming the baseball to be a uniform solid sphere, determine the rotational and translational kinetic energies of the ball in joules. KE rotational KEtranslational =In the diagram, disk 1 has a moment of inertia of 3.6 kg . m- and is rotating in the counterclockwise direction with an angular velocity of 7.5 rad/s about a frictionless rod passing through its center. A second disk rotating clockwise with an angular velocity of 9.5 rad/s falls from above onto disk 1. The two then rotate as one in the clockwise direction with an angular velocity of 2.0 rad/s. Determine the moment of inertia, in kg . ma, of disk 2. Disk 2 Disk 1 S kg . m2