Question

12.
Which of the following sets of forces acting
simultaneously on a particle keep it in
equilibrium?
1) 3N, 5N, 10N 2) 4N, 7N, 12N
3) 2N, 6N, 5N 4) 5N, 8N, IN
​

Answer 1

answer : option (3) 2N,6N,5N

explanation : given forces should follows condition : sum of any two forces is greater than or equal to third force and also difference of two forces is less than or equal to third force.

mathematically,

if we assume $F_1$, $F_2$ and $F_3$ are three force applied on a particle.

at equilibrium,

$|F_1-F_2|\leq F_3\leq |F_1+F_2|$

$|F_2-F_3|\leq F_1\leq |F_2+F_3|$

$|F_3-F_1|\leq F_2\leq |F_3+F_1|$

here, only option (3) follows above condition.

|6 - 2| < 4 < |6 + 2| , |4 - 2| < 6 ≤ |4 + 2| and |6 - 4| ≤ 2 < |6 + 4|

so, option (3) is correct

Answer 2

Answer:

HOPE IT HELPS YOU..........