A force F ⃗ \vec{F} F =î-ĵ+k̂ acts at the point (1,1,1). Find the magnitude of the z-component of torque about the origin.

Question

G1 Physics · Accepted Answer

Position vector r⃗=î+ĵ+k̂. Torque τ⃗=r⃗×F⃗. Its z-component is τ_z=x F y − y F x = 1 ( − 1 ) − 1 ( 1 ) = − 2. F_y-yF_x=1(-1)-1(1)=-2. F y ​ − y F x ​ = 1 ( − 1 ) − 1 ( 1 ) = − 2. Magnitude is 2.