Final answer:
To calculate the forces in cables AB and AC keeping a sphere in static equilibrium, we must apply equilibrium mechanics principles. However, without angle information for the cables, we cannot provide a numerical solution.
Step-by-step explanation:
To solve for the forces in cable AB and AC when a 20 kg sphere is held in static equilibrium, we must apply the principles of equilibrium in mechanics. Assuming the force F is applied horizontally and considering the tension in AB and AC and the weight of the sphere, the sum of the forces in both the x (horizontal) and y (vertical) directions should be zero. We must also assume some angles for cables AB and AC with the vertical or horizontal, which are not provided in the question. A common approach is to use trigonometric relationships such as sine and cosine along with Newton's second law (F=ma) to find these forces. However, without specific angle information or a diagram, we cannot provide a numerical answer. More information is required to solve this problem accurately.