The figure shows a uniform AB shape, 3.0m long, having the point of support 1.0m away from edge A. The weight and beam is 200N. 1.0 m 2.0m a Copy the figure and mark the center of mass of the beam. b Draw the arrows representing the following forces: the weight of the beam, the contact force acting on the beam at the point of support. c An Fe force is exerted vertically downwards on the beam (at end A). How much must this force be, that the beam of life in balance? d When this force is exerted, what is the contact force at the point of support of the beam? [1] [2] [5] [3]

Athin electrical heater is inserted between a long circular rod and a concentric tube with inner and outer radii of 20 and 40 mm. the rod (a) has a thermal conductivity of ka = 0.15 w/(m*k), while the tube (b) has a thermal conductivity of kb = 0.8 w/(m*k) and its outer surface is subjected to convection with a fluid of temperature t= -15°c and heat transfer coefficient 60 w/(m2 *k). the thermal contact resistance between the cylinder surfaces and the heater is negligible. (a) determine the electrical power per unit length of the cylinders (w/m) that is required to maintain the outer surface of cylinder b at 15°c. (b) what is the temperature at the center of cylinder a?