Question

which of the following sets of concurrent forces may be in equilibrium? 1) F1 = 3N , F2 =5N , F3= 1N 2) F1 =3N , F2=5N , F3= 6N

Answer 1

2 is the right answer.

Answer 2

"Forces are in equilibrium when they form a triangle

We know that the sum of these three forces is zero

$\overrightarrow {A} + \overrightarrow {B} + \overrightarrow {C} = 0$

For a triangle the sum of the two sides is always greater than the third side

Therefore, F1 = 3N; F2 = 5N; F3 = 6N

F1 + F2 > F3

F2 + F3 > F1

F3 + F1 > F2"