Question

In unit-vector notation, what is the net torque about the origin on a flea located at coordinates (-2.0, 1.0 m, 1.0 m) when forces F1 = (1.0 N) k and F2 = (-2.0 N) j act on the flea?

Answer 1

Answer:

Torque, $\tau=3i+2j+4k$

Explanation:

Given that,

Position of the flea, $r=(-2i+j+k)\ m$

Force acting on the flea, $F=(-2j+k)\ N$

We need to find the net torque about the origin on a flea located at coordinates. Its formula is given by :

$\tau=r\times F$

$\tau=(-2i+j+k) \times (-2j+k)$

On solving the cross product of r and F, we get :

$\tau=3i+2j+4k$

So, the net torque about the origin on a flea is $3i+2j+4k$. Hence, this is the required solution.