Problem $4(10$ points$)$

The length of the $\frac{1}{4}-$in$.-$diameter steel

wire $CD$ has been adjusted so that with no load

applied, a gap of $\frac{1}{8}in.$ exists between the

end $B$ of the rigid beam ACB and contact

point $E.$ Knowing that $E=29{10}^6,$

determine where a $56-lb(w)$ block should be

placed on the beam in order to cause contact

between $B$ and $E.$