Question

Which one of the following sets of horizontal forces can keep a body in equilibrium ? (a) 12 N, 24 N and 48 N (b) 50 N, 75 N and 150 N (d) 35 N, 35 N and 35 N. (c) 45 N, 90 N and 450 N​

Answer 1

The sum of horizontal forces acting on a body in equilibrium must be zero.

(a) 12 N + 24 N + 48 N = 84 N ≠ 0, so not in equilibrium.

(b) 50 N + 75 N + 150 N = 275 N ≠ 0, so not in equilibrium.

(c) 45 N + 90 N + 450 N = 585 N ≠ 0, so not in equilibrium.

(d) 35 N + 35 N + 35 N = 105 N = 0, so this set of forces can keep a body in equilibrium.

Therefore, the correct answer is (d) 35 N, 35 N, and 35 N.