$4.)(10)$ Without the $25$ kg block there is a gap of $2\mathrm{.}00$ mm between B and E $.$ The SAE $430$ full hard stainless steel cable deforms as the load is applied gradually. Neglect the weight of the cable and the bar. Diameter of the cable $=2mm$

a$)(8)$ Find the placement of the block $(x)$ to reduce the gap to zero. Verify if Hooke's applies and check if it is safe.

b$)(2)$ If the weight is removed, what rise in temperature would cause the wire to sag the same amount?