The disk A rolls without slipping on a horizontal surface. End B of bar BC is pinned to the edge of the disk A, and end C of the bar BC can slide freely along the horizontal surface. In addition, bar BC is pushed by the force P = mg. The sistem is initially at rest. Determine the aceleration of the center of the disk .A and the angular acceleration of bar BC immediately after the force P is applied if mA = mBC = m.

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.