<s>[INST] A ship's anchor is attached to the ship's hull by the anchor handle. The anchor weighs 2,000 lb and is  150 ft above sea level. The length of the anchor handle is 51 feet. The breaking strength of the anchor  handle is 3,500 lb. The sea level is 50 ft (the height of the alleged seawall) above the bottom of the sea  floor. The density of the sea water is 64 lb/ft^3. The diagram below shows the situation:



Assume that the load is uniformly distributed along the length of the anchor, and neglect any friction. When  the anchor is dropped, what is the minimum length of rope that needs to be attached to it to pull the anchor  to the sea floor, assuming that the handle is loaded to its maximum capacity?[/INST]