Physics

Physics

Problem

A force F=10 j N\mathbf{F}=10\,\mathbf{j}\,\text{N} acts at a point whose position vector from the origin lies in the xx–zz plane (so y=0y=0). If the required torque about the origin is τ=20 k N m\boldsymbol{\tau}=20\,\mathbf{k}\,\text{N m}, which one of the following position vectors (in metres) satisfies the condition? a) 0 i+0 j+2 k0\,\mathbf{i}+0\,\mathbf{j}+2\,\mathbf{k} b) 2 i+0 j+0 k2\,\mathbf{i}+0\,\mathbf{j}+0\,\mathbf{k} c) −2 i+0 j+0 k-2\,\mathbf{i}+0\,\mathbf{j}+0\,\mathbf{k} d) 1 i+0 j+0 k1\,\mathbf{i}+0\,\mathbf{j}+0\,\mathbf{k}

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