A slender rod of mass mo = 10.5 kg and length /= 840 mm is welded at its midpoint A to the rim of the solid circular disk of mass m = 20 kg and radius r = 295 mm. The center of the disk, which rolls without slipping, has a velocity v = 1.5 m/s at the instant when A is at the top of the disk with the rod parallel to the ground. For this instant determine the angular momentum of the combined body about O. The angular momentum is positive if counterclockwise, negative if clockwise. a

The uniform thin pin-connected bars AB, BC, and CD have masses mÃß = 2.3 kg, mBC = 3.2 kg, and mCD= 5.0 kg, respectively. Letting R = 0.75 m, L = 1.2 m, and H= 1.55 m and knowing that bar AB rotates at a constant angular velocity WAB= 4 rad/s, compute the angular momentum of bar AB about A, of bar BC about A, and bar CD about D at the instant shown. R L B WAB + | Do H The angular momentum of bar AB about A is ( The angular momentum of bar BC about A is ( The angular momentum of bar CD about Dis ( kg.m²/s) k. kg-m²/s) k. kg-m²/s) k.

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The slotted circular disk whose mass is 4.9 kg has a radius of gyration about O of 230 mm. The disk carries the four steel balls, each of mass 0.17 kg and located as shown, and rotates freely about a vertical axis through O with an angular speed of 164 rev/min. Each of the small balls is held in place by a latching device not shown. If the balls are released while the disk is rotating and come to rest relative to the disk at the outer ends of the slots, compute the new angular speed N of the disk. Also find the magnitude |AE| of the energy loss due to the impact of the balls with the ends of the slots. Neglect the diameter of the balls and discuss this approximation. 164 rev/min 145 mm 305 mm