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

Options

A. `F_(1) = 3 N, F_(2) =5 N, F_(3) = 9 N`
B. `F_(1) = 3N, F_(2) = 5N, F_(3) = 1 N`
C. `F_(1) = 3 N, F_(2) = 5 N,F_(3) = 15 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 + 5) = 8 N and (5 - 3) = 2 N. It means for some value of angle(`theta`), resultant 6 can be obtained. So, the resultant of 3 N, 5 N and 6 N may be zero and the forces may be in equilibrium.