Find the torque vector $\tau$ of the force F = $\{ 1,1,0 \}$ acting on a rigid body at the point given by the position vector r = $\{ 2,3,0 \}$ .
A) $\{ - 1,0,0 \}$
B) $\{ 0 , - 1,0 \}$
C) $\{ 0,0 , - 1 \}$
D) $\{ - 1,1,0 \}$
E) $\{ 0 , - 1,1 \}$
F) $\{ 1,0 , - 1 \}$
G) $( - 1,1,1 )$
H) $\{ 1 , - 1,1 \}$

Question

Find the torque vector $\tau$ of the force F = $\{ 1,1,0 \}$ acting on a rigid body at the point given by the position vector r = $\{ 2,3,0 \}$ .
A) $\{ - 1,0,0 \}$ 
B) $\{ 0 , - 1,0 \}$ 
C) $\{ 0,0 , - 1 \}$ 
D) $\{ - 1,1,0 \}$ 
E) $\{ 0 , - 1,1 \}$ 
F) $\{ 1,0 , - 1 \}$ 
G) $( - 1,1,1 )$ 
H) $\{ 1 , - 1,1 \}$

Quizplus · Accepted Answer

The torque vector $\tau$ is given by the cross product of the position vector $r$ and the force vector $F$, $\tau = r \times F$. For $r = \{ 2,3,0 \}$ and $F = \{ 1,1,0 \}$, the cross product is $\tau = \{ 0,0,-1 \}$, which corresponds to option C.

Find the Torque Vector τ\tauτ Of the Force F = {1,1,0}\{ 1,1,0 \}{1,1,0}

Find the Torque Vector $\tau$ Of the Force F = $\{ 1,1,0 \}$