Physics - Rotation Question with Solution | TestHub

$\overrightarrow{\tau }=\overrightarrow{\text{r}}\times \overrightarrow{\text{F}}$




Find the position vector with respect to O(origin) is$\overrightarrow{\text{r}}$

$\overrightarrow{F}=-\text{F}\widehat{k}$

$\overrightarrow{r}=-\hat{\mathrm{i}}+\hat{\mathrm{j}}$

$\overrightarrow{\tau }=\overrightarrow{r}\times \overrightarrow{F}$

$=\left(-\hat{\mathrm{i}}+\hat{\mathrm{j}}\right)\times F\left(-\hat{\mathrm{k}}\right)$

$=\left(-\hat{\mathrm{j}}+-\hat{\mathrm{i}}\right)F$

$=F\left(-\hat{\mathrm{i}}-\hat{\mathrm{j}}\right)$