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What load could be lifted by a 5 m long lever with a fulcrum 2m from the load if the effort is 30 N?

75 N
12 N
45 N
20 N

User Mo Adel
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2 Answers

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The answer is 45N Ive this problem before
User Chisophugis
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F₁ = effort applied = 30 N

F₂ = load applied = ?

r₁ = distance of effort force from the fulcrum = ?

r₂ = distance of load force from the fulcrum = 2 m

L = length of the lever = 5 m

from the diagram , we see that

L = r₁ + r₂

inserting the values

5 m = r₁ + 2 m

r₁ = 5 m - 2 m

r₁ = 3 m


using equilibrium of torque about the fulcrum from the diagram

F₁ r₁ = F₂ r₂

inserting the values

(30) (3) = F₂ (2)

F₂ = 90/2

F₂ = 45 N

hence the correct choice is 45 N

What load could be lifted by a 5 m long lever with a fulcrum 2m from the load if the-example-1
User Reimus Klinsman
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7.1k points

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