A force vec F acts on a particle having posit | vedclass

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Question

(B) The torque $\vec 	au$ is defined as the cross product of the position vector $\vec r$ and the force vector $\vec F$: $\vec 	au = \vec r 	imes \

Vedclass · Accepted Answer

$\vec r \cdot \vec 	au = 0$ and $\vec F \cdot \vec 	au = 0$

Vedclass · Answer

(B) The torque $\vec 	au$ is defined as the cross product of the position vector $\vec r$ and the force vector $\vec F$: $\vec 	au = \vec r 	imes \vec F$.By the definition of the cross product,the resulting vector $\vec 	au$ is perpendicular to both $\vec r$ and $\vec F$.Since the dot product of two perpendicular vectors is zero,we have $\vec 	au \cdot \vec r = 0$ and $\vec 	au \cdot \vec F = 0$.Therefore,the correct option is $B$.

$A$ force $\vec F$ acts on a particle having position vector $\vec r$ (with respect to origin). It produces a torque $\vec \tau$ about the origin. Choose the correct option.

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