OnlineCBT
Physics · LAWS OF MOTION
हिन्दीThree concurrent forces \( \mathbf{F}_1 \), \( \mathbf{F}_2 \), and \( \mathbf{F}_3 \) keep a particle in equilibrium. If \( \mathbf{F}_1 = 3\hat{i} - 4\hat{j}\text{ N} \) and \( \mathbf{F}_2 = -2\hat{i} + 6\hat{j}\text{ N} \), then the third force \( \mathbf{F}_3 \) is equal to:
Correct answer · Option 2
\( -\hat{i} - 2\hat{j}\text{ N} \)
Explanation
For equilibrium, \( \mathbf{F}_1 + \mathbf{F}_2 + \mathbf{F}_3 = 0 \implies \mathbf{F}_3 = -(\mathbf{F}_1 + \mathbf{F}_2) = -((3-2)\hat{i} + (-4+6)\hat{j}) = -\hat{i} - 2\hat{j}\text{ N} \).
