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

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A force

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

is applied at a point whose position vector with respect to the origin is

\vec r = 2\hat i + 4\hat j + 3\hat k\,\text{m}

. Calculate the magnitude of the torque about the origin. (a)

17.2\,\text{N}\,\text{m}

(b)

8.3\,\text{N}\,\text{m}

(c)

16.2\,\text{N}\,\text{m}

(d)

15.7\,\text{N}\,\text{m}