Problem 3: The embedded portion of the cylindrical rod of length 2L has g = +10 kW/m and protrudes out as two equal cylindrical portions on either side with q = 0. Let L = 1 m, R = 40 mm, h = 200 W/mK, k = 100 W/m-K, T = 20 C. Use coordinate system given in figure. 1. State why the protruding portions are fins, calculate 'm' for any one of the fins, and determine boundary condition at fin tip. 2. Within the embedded portion, state the boundary condition at y = 0. 3. Using the coordinate system given, determine base temperature of the fin at x = 0. y=-L y = 0 y = L 4. Sketch temperature and heat flux profiles for the entire rod (embedded + fin portions). insulation 2r h, T x = 0 To h, T. I x = L