We can solve this problem using torques. The torque is the perpendicular to the lever component of force times distance from the point of rotation to the force:
Something is in equilibrium (does not move, break or rotate) when the net (total) torque is zero, i.e.
Torques counter-clockwise are positive and they are negative when directed clockwise.
Now choose a point around which we will calculate the torques. Let it be the point O:
The force of gravity, if we deal with a uniform boom, is applied at the center of the rod.
"-400\\cdot\\frac{8}{2}+T_y\\cdot4.3-1150\\cdot8=0,"
"T_y=639.7\\text{ N}."
If you know the angle between the cable and the rod or the wall, simply use sine or cosine correspondingly to calculate the tension "T".
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