Final answer:
The moment Mz of a tension T about the z-axis passing through the base O can be calculated using the cross product of the position vector r from point A to point O and the force vector F representing the tension T. However, additional information is needed in order to calculate the moment accurately.
Step-by-step explanation:
The moment Mz of a tension T about the z-axis passing through the base O can be determined using the cross product of the position vector r from point A to point O and the force vector F representing the tension T. The equation for the moment is given by Mz = r x F, where x represents the cross product. Since the question states that the tension T is applied to the cable attached to the top A of the rigid mast and secured to the ground at B, we can assume that point O is the base of the mast. To calculate the moment Mz, we need to know the position vector r and the force vector F. However, the question does not provide the distance between point A and point O, or the direction of the tension force F. Without this information, we cannot accurately calculate the moment. In this case, the correct answer choice would be d) Rigid Mast, as it refers to the structural component of the system being described. However, the specific calculation of the moment Mz cannot be determined without additional information.