Question

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

• A. $F_1=3N,F_2=5N,F_3=15N$
• B. $F_1=3N,F_2=5N,F_3=6N$
• C. $F_1=3N,F_2=5N,F_3=1N$
• D. $F_1=3N,F_2=5N,F_3=9N$

Answer 1

The correct option is A $F_1=3N,F_2=5N,F_3=15N$

Range of resultant of $F_1$ and $F_2$ varies between maximum of resultant $(3+5)=8N$ and minimum of resultant $(5-3)=2N$.
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.

Final answer: $\left(c\right)$