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A body acted upon by three coplanar forces P1, P2 and P3 (as shown in figure) is in equilibrium. Which of the following is correct? [where, "O" is the point of concurrency of the forces]
  • a)
    P3 = 600 N
  • b)
    P1 = P3 = 400 N
  • c)
    P1 = P2 = P3 = 300 N
  • d)
    P1 = 350 N
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A body acted upon by three coplanar forces P1, P2 and P3 (as shown in ...
LAMI’S THEOREM:
  • If a system of Three forces is in equilibrium, then, each force of the system is proportional to sine of the angle between the other two forces (and constant of proportionality is the same for all the forces). Thus, we have,

The formula for Lami's Theorem:

Calculation:
Given:

A = P1, B = P2 = 300N, C = P3, and
α = 90° + 30° = 120°, β = 90° + 60° = 150° and  γ = 360° - 120° - 150° = 90°
on salving 

P3 = 600N
only option 1 is correct.
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A body acted upon by three coplanar forces P1, P2 and P3 (as shown in figure) is in equilibrium. Which of the following is correct? [where, "O" is the point of concurrency of the forces]a)P3 = 600 Nb)P1 = P3 = 400 Nc)P1 = P2 = P3 = 300 Nd)P1 = 350 NCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A body acted upon by three coplanar forces P1, P2 and P3 (as shown in figure) is in equilibrium. Which of the following is correct? [where, "O" is the point of concurrency of the forces]a)P3 = 600 Nb)P1 = P3 = 400 Nc)P1 = P2 = P3 = 300 Nd)P1 = 350 NCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body acted upon by three coplanar forces P1, P2 and P3 (as shown in figure) is in equilibrium. Which of the following is correct? [where, "O" is the point of concurrency of the forces]a)P3 = 600 Nb)P1 = P3 = 400 Nc)P1 = P2 = P3 = 300 Nd)P1 = 350 NCorrect answer is option 'A'. Can you explain this answer?.
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