Statement: 1 If three forces F₁, F₂ and F₃ are represented by three… | JEE Main 2021 (31 Aug, Shift 2)

Q16JEE Main 2021 · 31 AUG · SHIFT 2Easy

Equilibrium, Third Law & Frames

Statement: 1

If three forces $\vec{F}_1, \vec{F}_2$ and $\vec{F}_3$ are represented by three sides of a triangle and $\vec{F}_1 + \vec{F}_2 = -\vec{F}_3$ , then these three forces are concurrent forces and satisfy the condition for equilibrium. Statement: 2

A triangle made up of three forces $\vec{F}_1, \vec{F}_2$ and $\vec{F}_3$ as its sides taken in the same order, satisfy the condition for translatory equilibrium.

In the light of the above statements, choose the most appropriate answer from the options given below:

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Answer: (d)

Statement I: $\vec{F}_1 + \vec{F}_2 + \vec{F}_3 = 0$ , and the forces act at one point, so they are concurrent and in equilibrium. True.
Statement II: sides of a closed triangle taken in order add to zero, so the net force is zero (translatory equilibrium). True.
So the answer is (d) both statements are true.

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Equilibrium, Third Law & Frames question from JEE Main 2021 (31 Aug, Shift 2)

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