The vector position of an object is given by r what is the torque acting on the object about the origin when a force f = (−12.5i hat) n acts on it? express your answer using unit vector notation.

Respuesta :

Let the vector position of the object in the (x-y) plane be 
[tex]\vec{r} = x \hat{i} + y \hat{j}[/tex]

The applied force is
[tex]\vec{f} = -12.5 \hat{i} [/tex]

By definition, the applied torque is
[tex]\vec{T} = \vec{r} \times \vec{f} = (x\hat{i} + y\hat{j}) \times (-12.5y \hat{i}) = 12.5\hat{k}[/tex]

Answer: [tex]12.5y \, \hat{k}[/tex]

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