Air flows through an open system at the steady mass flow rate of 5 kg/s. At inlet the air velocity is negligible, the pressure is 1 bar and the
temperature is 15 °C. The air flow is compressed isentropically and
leaves the system at a pressure of 5 bar through a pipe with an internal
diameter of 80 mm. (Assume for air, R=287 J/kgK and y = 1.4).
Calculate:
i. The temperature of the air as it leaves the system.
ii. The velocity in the exit pipe.
iii. The power input to the air.

The force on a cutting tool are 2600n vertically downward and 2100 horizontal. determine the resultant force acting on the tool and the angle at which it acts.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.