A uniform disk with mass 100 kg and radius 1.0 m is spinning like a merry-go-round about a vertical axis through its center and perpendicular to the plane of the disk. It rotates at an initial angular speed of rad/s. A 40 kg mass of putty drops from above and lands on a point 0.50 m from the center from the disk and sticks to the disk. What is the final angular speed of the disk-putty system, in rad/s?

Consider a one meter long horizontal pipe with a constant 100 cm^2 cross sectional area. water flows rightward into the pipe at x = 0 with flow velocity 02m/sec at every point within the pipe intake area. at x=1, the rightward flow rate is 0.192 m/sec. assume the water is a conserved quantity in the pipe, so there must be a leak (a sink) somewhere in the pipe. 1. compute net volumetric flow of the source if the system to be in equilibrium. 2. now assume the pipe in the problem has no leaks. compute the net volumetric rate of change for the system.