A force acts at point in a Cartesian coordinate system with origin at

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A force

\vec F = 4\hat i + 3\hat j - 2\hat k\,\text{N}

acts at point

P(2,\,-1,\,3)\,\text{m}

in a Cartesian coordinate system with origin at

O(0,0,0)

. A new origin

O'

is chosen at

(1,\,1,\,1)\,\text{m}

. Determine the torque of the force about the new origin

O'

. (a)

-7\hat i + 16\hat j + 10\hat k \;\text{N m}

(b)

2\hat i - 10\hat j - 11\hat k \;\text{N m}

(c)

-2\hat i + 10\hat j + 11\hat k \;\text{N m}

(d)

-2\hat i - 10\hat j + 11\hat k \;\text{N m}