Halliday, Resnick & Walker — Rolling, Torque, and Angular Momentum: Problem 24_M

In unit-vector notation, what is the torque about the origin on a jar of jalapeño peppers located at coordinates (3.0 m, -2.0 m, 4.0 m) due to (a) force \(\vec{F}_1 = (3.0 \text{ N})\hat{i} - (4.0 \text{ N})\hat{j} + (5.0 \text{ N})\hat{k}\), (b) force \(\vec{F}_2 = (-3.0 \text{ N})\hat{i} - (4.0 \text{ N})\hat{j} - (5.0 \text{ N})\hat{k}\), and (c) the vector sum of \(\vec{F}_1\) and \(\vec{F}_2\)? (d) Repeat part (c) for the torque about the point with coordinates (3.0 m, 2.0 m, 4.0 m).