Problem 2. 10 ft x = 0 5 lb/ft 3000 lb A prismatic bar of length 10 ft and cross-sectional area of 6 in carries a distributed load of 5 lb/ft and an end load of 3000 lb as shown in the figure above. (a) Apply Galerkin's method using the first two basis functions of the polynomial basis { $ => 0 = x, 2 = x, ..., On = xn (x" } and use your solution to determine Young's modulus E (in psi) so that the bar will elongate (i) no more than 2 inches, (ii) no more than 0.5 inches.