A particle undergoes uniform circular motion. | vedclass

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(A) The net force acting on a particle undergoing uniform circular motion is the centripetal force,which always acts towards the centre of the circle.

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Centre of the circle

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(A) The net force acting on a particle undergoing uniform circular motion is the centripetal force,which always acts towards the centre of the circle.Torque $	au$ is defined as $\vec{	au} = \vec{r} 	imes \vec{F}$.Since the centripetal force $\vec{F}$ always passes through the centre of the circle,the position vector $\vec{r}$ relative to the centre is parallel to the force vector $\vec{F}$.Therefore,the torque about the centre is $\vec{	au} = 0$.According to the principle of conservation of angular momentum,if the net external torque acting on a particle is zero,its angular momentum $L$ remains conserved.Thus,the angular momentum of the particle is conserved about the centre of the circle.

$A$ particle undergoes uniform circular motion. About which point on the plane of the circle will the angular momentum of the particle remain conserved?

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