A) \[\vec{r}.\vec{\tau }\ne 0\]and\[\vec{F}.\vec{\tau }=0\]
B) \[\vec{r}.\vec{\tau }>0\]and\[\vec{F}.\vec{\tau }<0\]
C) \[\vec{r}.\vec{\tau }=0\]and\[\vec{F}.\vec{\tau }=0\]
D) \[\vec{r}.\vec{\tau }=0\]and\[\vec{F}.\vec{\tau }\ne 0\]
Correct Answer: C
Solution :
Torque is an axial vector, i.e., its direction is always perpendicular to the plane containing vectors \[\vec{r}\]and\[\vec{F}.\] Torque is perpendicular to both \[\vec{r}\]and \[\vec{F}\] \[\therefore \] \[\vec{\tau }.\vec{r}=0\] \[\vec{F}=\vec{\tau }=0\]You need to login to perform this action.
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