A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance d=0.233 m from the rock, which has a mass of 385 kg, and fits one end of the rod under the rock's center of weight.

If the homeowner can apply a maximum force of 679 N at the other end of the rod. what is the minimum total Length L of the rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner's force are both essentially vertical.