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 ?=0.288 mfrom the rock, which has a mass of 465 kg, and fits one end of the rod under the rock's center of weight. If the homeowner can apply a maximum force of 671 N at the other end of the rod, what is the minimum total length ? 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. The acceleration due to gravity is ?=9.81 m/s2.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter14: Static Equilibrium, Elasticity, And Fracture
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Problem 31PQ: A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm...
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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 ?=0.288 mfrom the rock, which has a mass of 465 kg, and fits one end of the rod under the rock's center of weight.

 

If the homeowner can apply a maximum force of 671 N at the other end of the rod, what is the minimum total length ? 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. The acceleration due to gravity is ?=9.81 m/s2.

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