Problem $6-3$: The pipe shown is used to water plants below it$.$ It is composed of three sections, each having a mass per unit length of $1\mathrm{.}25k\frac{g}{m}.$ It is supported by the ball$-$and$-$socket joints at A and $D,$ as well as the cable $EF.$ Determine the tension in cable $EF.($Hint: the resultant of the weights of each section of pipe act at the center of each respective section.$)$

$($Ans: $37\mathrm{.}8$ N $)$