2) Abugis sitting at the center of a disk that is rotating in a horizontal plane at an angular speed of w = 2.75 rad/s. The bug jumps straight up with an initial velocity of v; = 6.05 m/s. Find the number of rotations the disk makes before the bug falls back down to the disk. (2 points) 3) A horizontal merry-go-round of weight 8.00 x 10 N of radius 1.50 m is started from rest by a constant horizontal force of 50.0 N applied tangentially to the merry-go-round. a) Find the moment of inertia of the merry-go-round (assume it is a disk). (2 points) b) Find the angular acceleration of the merry-go-round. (2 points) c) Find the kinetic energy of the merry-go-round after 3.00 s. (2 points) 4) A solid, uniform disk of radius 0.250 m and mass 55.0 kg rolls down a ramp of length 4.50 m that makes an angle of 15.0 with the horizontal. The disk starts from rest from the top of the ramp. Starting with Conservation of Energy, find the speed of the disk's center of mass when it reaches the bottom of the ramp. (2 points) 1) A bugis sitting on the rim of a disk of radius = 2.50 m that accelerates uniformly from an angular speed of w; = 13.8 rad/s to wy = 2.10 rad/s in t; = 14.5 s. Find the bug's angular displacement over this time period. (2 points)