A rigid bar $AB,9m$ long, is suspended by two vertical rods at its ends and hangs in a

horizontal position under its own weight, as shown in the figure below. The rod at A is brass;

length, $3$ m $,$ cross$-$sectional area, $10c{m}^2,$ modulus of elasticity, $10$ GPa $.$ The rod at B is steel;

length, $5$ m $,$ cross$-$sectional area, $4\mathrm{.}45c{m}^2,$ modulus of elasticity, $20$ GPa $.$ At what distance x

from A will a vertical load P be applied if the bar remains horizontal after the load is applied?