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A force of 40 N acts on a point B at the end of an L-shaped object, as shown in the figure. The angle θ that will produce maximum moment of the force about point A is given by 
  • a)
    tanθ = 1/4
  • b)
    tanθ = 2
  • c)
    tanθ = 1/2
  • d)
    tan θ = 4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A force of 40 N acts on a point B at the end of an L-shaped object, as...

τA = f cosθ(4) + Fsinθ(2)
τA = 2F(sinθ + 2cosθ
A/dθ = 2F[cosθ − 2sinθ] = 0
Tan θ = 1/2
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A force of 40 N acts on a point B at the end of an L-shaped object, as shown in the figure. The angle θ that will produce maximum moment of the force about point A is given bya)tanθ = 1/4b)tanθ = 2c)tanθ = 1/2d)tan θ = 4Correct answer is option 'C'. Can you explain this answer?
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