1) Attime t = 0 s a wheel turns with an angular velocity of wo = 33.7 rad/s. It slows at a rate of oo =1.38 rad/s>. Through what angular displacement will it turn by the time it stops? Give your answer in units of radians. 2) If mi=2.52 kg, m2 = 3.64 kg, and m3 = 4.55 kg, what is the x-component of the center of mass coordinate of the system shown? Each line in the figure corresponds to 1 meter. The red lines refer to the coordinate axes. ? 3) Over the course of 6.94 s, a tire with a diameter of 1.27 m diameter uniformly increases its rotational speed from 27.6 rad/s to 47.2 rad/s. What is the translational acceleration of the outer edge of the tire? 4) Two (very large) boys, with masses of 71.2 kg and 96.7 kg, respectively, stand on a horizontal frictionless surface holding the ends of a super-light 18.7 m long rod. The boys pull themselves together along the rod. When they meet, what distance will the 96.7 kg boy have moved? 5) A 2.33 kg gopher in outer space located at a position = 2.73% + 9.329 m relative to an origin of coordinates has a velocity of = 0.679% + 0.942 m/s. What is the magnitude of the gopher's angular momentum with respect to the origin? 6) Car 1, whose mass is 1200 kg, travels east at 30.0 m/s and collides with car 2, whose mass is 1600 kg and is traveling North at 10.0 m/s. The cars stick together after the collision. What is the common speed of the cars after the collision