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

Options

A. `F_(1)=3` `N` , `F_(2)=5` `N` , `F_(3)=9` `N`
B. `F_(1)=3` `N` , `F_(2)=5` `N` , `F_(3)=1` `N`
C. `F_(1)=3` `N` , `F_(2)=5` `N` , `F_(3)=19` `N`
D. `F_(1)=3` `N` , `F_(2)=5` `N` , `F_(3)=6` `N`

Answer

D

Explanation

Range of resultant of `F_(1)` and `F_(2)` varies between `(3+4)=8N` and `(5-3)=2N` . It means for some value of angle `(theta)` , resultant `6can` be obtained. So the resultant of `3N` , `5N` and `6N` may be zero and the force may be in equilibrium.