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

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

$F_{1} = 3 N, F_{2} = 5 N, F_{3} = 15 N$

$F_{1} = 3 N, F_{2} = 5 N, F_{3} = 9 N$

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

answer is D.

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Detailed Solution

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

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