Two forces and act on a particle such that their resultant is

PHYSICS · Single correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

Two forces A\mathbf{A} and B\mathbf{B} act on a particle such that their resultant is R=6i^+2j^ N\mathbf{R}=6\hat{i}+2\hat{j}\,\text{N}. Force A\mathbf{A} has magnitude 5 N5\,\text N and makes an angle 37∘37^{\circ} above the positive xx-axis (take cos⁡37∘=0.8\cos 37^{\circ}=0.8 and sin⁡37∘=0.6\sin 37^{\circ}=0.6). Determine B\mathbf{B}. (a) 3i^−2j^ N3\hat{i}-2\hat{j}\,\text N (b) 2i^+1j^ N2\hat{i}+1\hat{j}\,\text N (c) 2i^−1j^ N2\hat{i}-1\hat{j}\,\text N (d) −2i^+1j^ N-2\hat{i}+1\hat{j}\,\text N

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