A composite rod is made by joining two rods of different materials but with the same cross-sectional area as shown below. Design such a composite rod using steel ( = 11 x 10 -6 / C) and brass ( = 19 x 10 -6 / C) whose total length is 52.4 cm and whose effective coefficients of linear expansion is 13 x 10 -6 / C. Compute the lengths of the steel and brass rods that must be used. Neglect changes in cross-sectional area of the rods