Amachine of mass 225kg is supported on a spring that deflects 18mm under the static load. the system begins to vibrate. a damper reduces the amplitude of vibration to one quarter of the initial value in 2 complete oscillations. calculate (1) the damping ratio (ii) damped and undamped natural frequencies

Air (c-1.006 kj/kg.k, r-0.287 kj/kg.k) enters a nozzle steadily at 280 kpa and 77°c with a velocity of 50 m/s and exits at 85 kpa and 320 m/s. the heat losses from the nozzle to the surrounding medium at 20°c are estimated to be 3.2 kj/kg. determine (a) the exit temperature and (b) the total entropy change for this process. solve this problem using constant specific heats.