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5. A uniform disk of mass 10m and radius 3 .Or can rotate freely about its xed center like a merry-go- round. A smaller uniform disk of mass m and radius r lies on top of the larger disk, concentric with it. Initially the two disks rotate together with an angular velocity of 20 rad/s. Then a slight disturbance causes the smaller disk to slide outward across the larger disk, until the outer edge of the smaller disk catches on the outer edge of the larger disk. Afterward, the two disks again rotate together (without further sliding). (a) What then is their angular velocity about the center of the larger disk? (b) What is the ratio K/Ko of the new kinetic energy of the two-disk system to the system's initial kinetic energy? 6. In the gure, one end of a uniform beam of weight 222 N is hinged to a wall; the other end is supported by a wire that makes angles 6 = 30.0 with both wall and beam. Find (a) the tension in the Wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. Ilium 7. A bicycle wheel of radius 30.0 cm is mounted at the middle of an axle 60.0 cm long. The tire and rim weigh 36.0 N. The wheel is spun at 10.0 rev/s, and the axle is then placed in a horizontal position with one end resting on a pivot. (a) What is the angular momentum due to the spinning of the wheel? (Treat the wheel as a hoop.) (b) What is the angular velocity of precession? (c) How long does it take for the axle to swing through 360 around the pivot? (d) What is the angular momentum associated with the motion of the centre of mass, that is, due to the precession? In What direction is this angular momentum