The $CB$ cable can carry a maximum tension force of $1kN.$ Rod $AB$ of length $L$

is produced from a functionally graded material such that the unit weight of

the rod change from $A(x=0)$ to $B(x=L)$ according to the function given

below.

$w(x)=800+900x[\frac{N}{m}]$

Find the maximum length of the rod that can be safely carried by the help of

the cable $CB.$

Hint: You can assume $w(x)$ as a distributed load.