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

A wheel is attached by a cable to a block  The wheel has a radius of 2ft and weighs 300lbs, the block weights 20lbs. If the radius of gyration about the point of rotation of the disk is 1.5ft, how many revolutions will it take for the wheel to come to a stop assuming it was moving at 10 rad/s CW. Assume the block is on the left side of the wheel and thus causes a CCW moment.

A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2.   (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)