The torque acting on a body about the centre | vedclass

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(C) The torque $\vec{	au}$ about the centre of mass is given by $\vec{	au} = \vec{r} 	imes \vec{N}$,where $\vec{r}$ is the position vector of the p

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May be non-zero on a stationary or moving body

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(C) The torque $\vec{	au}$ about the centre of mass is given by $\vec{	au} = \vec{r} 	imes \vec{N}$,where $\vec{r}$ is the position vector of the point of application of the normal force $\vec{N}$ relative to the centre of mass. If the normal force acts directly through the centre of mass,the torque is zero. However,in many physical situations,such as a block on an inclined plane or a body undergoing toppling,the normal force acts at a point shifted from the centre of mass. In such cases,the position vector $\vec{r}$ is non-zero and not parallel to the normal force $\vec{N}$,resulting in a non-zero torque. Therefore,the torque due to the normal reaction about the centre of mass may be non-zero depending on the point of application of the force.

The torque acting on a body about the centre of mass due to the normal reaction:

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