Final answer:
To determine the moment about each axis of the force exerted on point A by cable AB, find the components of the force in the x, y, and z directions using trigonometry.
Step-by-step explanation:
To determine the moment about each of the coordinate axes of the force exerted on point A by cable AB, we need to calculate the components of the force in the x, y, and z directions. Since the boom lies in the yz plane, the x component of the force is zero.
To find the y and z components, we can use trigonometry. Let's call the angle between the AB cable and the y-axis θ. From the given diagram, we can see that the distance from point A to the yz plane is 25 m, and the tension in cable AB is 4 kN.
The y component of the force, Fy, is given by Fy = T × sin(θ), where T is the tension in cable AB. The z component of the force, Fz, is given by Fz = T × cos(θ).
Therefore, the moment about the x-axis is 0 Nm, the moment about the y-axis is 4kN × sin(θ) Nm, and the moment about the z-axis is 4kN × cos(θ) Nm.