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12. Bicycle Wheel. A simple bicycle wheel composed of a tire of mass 2.00 kg and radius 0.600 m and 12 radial spokes each of mass 0.100 kg is lain flat on the ground and allowed to spin about its center such that the tire is moving at v = 5.00 m/s. A rock of mass 0.800 kg moving at 3.00 m/s hits one of spokes perpendicularly and at a distance of 0.200 m away from the center, as shown in the figure. If the rock sticks to the spoke and the wheel continues to rotate about its center, find the resultant angular velocity of the wheel-rock combination.

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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