Answer :
Final answer:
The maximum weight of the flowerpot that can be supported without exceeding a cable tension of 71.5 lb in either cable is 71.5 lb. The correct option is B.
Explanation:
To determine the maximum weight of a flowerpot that can be supported without exceeding a cable tension of 71.5 lb in either cable AB or AC, we need to consider that the tension will be the same in both cables if the weight is distributed evenly. Since each cable can support 71.5 lb, the maximum combined support would be twice the tension of one cable, which is 71.5 lb + 71.5 lb. However, to ensure neither cable exceeds the tension limit, the maximum weight the cables can support together is the tension limit of one cable, which is 71.5 lb. Therefore, the flowerpot that can be supported without exceeding the cable tension is 71.5 lb (option b).
