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

Options

A. `F_1=3`,`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

D

Explanation

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.