A brass rod 100 mm long and 5 mm in diameter extends horizontally from a casting at 200oC. The rod is in air with T?=20oC and h=30 W/(m2 K).

a. What is the temperature of the rod at 25, 50, 75, and 100 mm from the casting? Assume that the fin tip is approximately adiabatic.
b. What is the rate of heat transfer from the fin?
c. What would be the rate of heat transfer from a 5 mm diameter circle of the casting surface
without a fin?

For a gate width of 2 m into the paper, determine the force required to hold the gate abc at its location.

Steam at a pressure of 100 kpa and a quality of 50% initially fills a rigid vessel having a volume of 0.5 m^3. the steam is then heated, causing the pressure in the vessel to rise to 150 kpa. determine: i. the mass of the steam in the vessel. ii. the temperature and quality of the steam after the heating process. ii the mass of the vapour, mg and liquid, m in the vessel after the heating process. if the steam in the vessel is now further heated, what would the pressure and temperature in the vessel be when all steam has turned into saturated vapour? b. sketch the processes in part (a) and part (b) on p-v and t-v diagrams, indicating clearly the temperatures, pressures and the paths. c. (0.59kg, 111.4°c, 73%, 0.4307kg, 0.1 593kg, 2.11 bar, 121.84°c)

Acountershaft is supported by two tapered roller bearings using indirect mounting. the radial bearing loads are 1120 lb for the left-hand bearing and 2190 lb for the right-hand bearing. the shaft rotates at 400 rpm and is to have an l10 life of 40,000 hours and an application factor of 1.4. assume ka2k 15, and find the required radial rating of each bearing