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?

Respuesta :

Answer:

Torque, [tex]\tau=3i+2j+4k[/tex]

Explanation:

Given that,

Position of the flea, [tex]r=(-2i+j+k)\ m[/tex]

Force acting on the flea, [tex]F=(-2j+k)\ N[/tex]

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

[tex]\tau=r\times F[/tex]

[tex]\tau=(-2i+j+k) \times (-2j+k)[/tex]

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

[tex]\tau=3i+2j+4k[/tex]

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