## Engineering Mechanics: Statics & Dynamics (14th Edition)

$T_{AB}=134lb$ $T_{CD}=106lb$ The attachment at points C and D produces the least amount of tension.
We can find the required tension as follows: $cos\theta=\frac{2}{3}$ $\implies \theta=48.2$ The sum of forces in the y-direction is given as $\Sigma F_y=0$ $\implies 200-2T_{AB} sin\theta=0$ $\implies T_{AB}=134lb$ Now, for the second attachment at C and D $cos\phi=\frac{1}{3}$ $\implies \phi=70.5$ The sum of forces in the y-direction is given as $\Sigma F_y=0$ $\implies 200-2T_{CD}sin\phi=0$ $\implies T_{CD}=106lb$ Thus, we can see that the attachment at points C and D produces the least amount of tension.