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Member $OA$ buckles when the compressive force it supports reaches $350$ N $.$ Cables $AC$ and $AD$ each have $250$ N

breaking strength. Assume the pulleys are frictionless with diameters that are small enough so that all cables between $A$

and $B$ are parallel to line $AB.$

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

Assuming the cabling between A and $B$ is sufficiently strong, determine the force $T$ that will cause the structure to fail. $($Round the final

answer to four decimal places.$)$

The force $T$ that will cause the structure to fail is

N $.$