An artist friend of yours needs help hanging a 500 lb sculpture from the ceiling. For artistic reasons, she wants to use just two ropes. One will be 30o from vertical, the other 60o . She needs you to determine the smallest diameter rope that can safely support this expensive piece of art. On a visit to the hardware store you find that rope is sold in increments of 1/8 inch diameter and that the safety rating is 4000 pounds per square inch of cross section.
A. What size (diameter) rope should you buy?