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

Question

Which of the following sets of concurrent forces may be in equilibrium? (A) F1=3 N , F2=5 N , F3=10 N (B) F1=3 N, F2=5 N, F3=9 N (C) F1=3 N, F2=5 N, F3=6 N (D) F1=3 N, F2=5 N, F3=15 N

Tardigrade Admin · Accepted Answer

According to triangle law of forces, resultant of two forces must be greater
than or equal to the third force.
In option (a),

F_{1} (3 N) + F_{3} (1 N)

Hence, these sets of concurrent forces may not in equilibrium.
In option (b),

F_{1} (3 N) + F_{2} (5 N)

Hence, these sets of concurrent forces also may not in equilibrium.
In option (c),

F_{1} (3 N) + F_{2} (5 N) > F_{3} (6 N)

Hence, these sets of concurrent forces may be in equilibrium.
In option (d),

F_{1} (3 N) + F_{2} (5 N)

Hence, these sets of concurrent forces may not in equilibrium.

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

$F_{1} = 3 N, F_{2} = 5 N, F_{3} = 10 N$

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

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

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

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

F1​=3N,F2​=5N,F3​=10N

F1​=3N,F2​=5N,F3​=9N

F1​=3N,F2​=5N,F3​=6N

F1​=3N,F2​=5N,F3​=15N

$F_{1} = 3 N, F_{2} = 5 N, F_{3} = 10 N$

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

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

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