A homeowner is trying to move a stubborn rock from his yard which has a mass of

Question

A homeowner is trying to move a stubborn rock from his yard which has a mass of 425 kg. By using a lever arm (a piece of metal rod) and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum d = 0.255 m from the rock so that one end of the rod fits 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 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. Number Im

Explanation / Answer

let,

length of the rod is L

by using torque balancing equation,

torque due to rock=torque due to man,

m*g*d=(L-d)*F

425*9.8*0.255=(L-0.255)*671

==> L=1.837 m

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