Question

Which of the following sets of concurrent forces may be in equilibrium

• A. $F_{1} = 3N,F_{2} = 5N,F_{3} = 9N$
• B. $F_{1} = 3N,F_{2} = 5N,F_{3} = 1N$
• C. $F_{1} = 3N,F_{2} = 5N,F_{3} = 15N$
• D. $F_{1} = 3N,F_{2} = 5N,F_{3} = 6N$

Answer 1

Answer: (D)

$F_{1} = 3N,F_{2} = 5N,F_{3} = 6N$

Answer 2

Range of resultant of $F_{1}$ and $F_{2}$ varies between (3+5)=8N and $(5 - 3) = 2N$. It means for some value of angle $(\theta)$, resultant 6 can be obtained. So, the resultant of 3N, 5N and 6N may be zero and the forces may be in equilibrium.