A force acts at a point whose position vector with respect to the origin is

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A force F⃗=5 i^+2 j^−4 k^ N\vec F = 5\,\hat i + 2\,\hat j - 4\,\hat k\,\text{N} acts at a point whose position vector with respect to the origin is r⃗=3 i^−j^+2 k^ m\vec r = 3\,\hat i - \hat j + 2\,\hat k\,\text{m}. Determine: (i) the torque τ⃗=r⃗×F⃗\vec \tau = \vec r \times \vec F about the origin in unit-vector form (ii) the magnitude of τ⃗\vec \tau

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