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  4. A single force acts on a particle situated on the negative x-axis. The torque about the origin is in the positive z-direction. The force is

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Q. A single force acts on a particle situated on the negative $x$-axis. The torque about the origin is in the positive $z$-direction. The force is

Solution:

$\tau = \vec{r} \times \vec{F}$
$\Rightarrow +\hat{k} = [-\hat{i}]\times [\hat{F}]$
$\therefore \hat{F} = - \hat{j} $
So, force is in the negative $y$ direction.