JEE Main Physics question

Three concurrent co-planar forces 1 N, 2 N and 3 N, acting along different directions on a body,

(A)Can keep the body in equilibrium if 2 N and 3 N act at right angle
(B)Can keep the body in equilibrium if 1 N and 2 N act at right angle
(C)Cannot keep the body in equilibriumCorrect
(D)Can keep the body in equilibrium if 1 N and 3 N act at an acute angle

Answer: (C)

Solution

Three forces are in equilibrium only if they can form a closed triangle (any two must sum, vectorially, to the negative of the third). Here 1 + 2 = 3 exactly, which is the degenerate limiting case of the triangle inequality: a genuine (non-degenerate) closed

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Question ID VK-153290