If the resultant torque of all the forces acting on a body is zer… - Vidyadip

Question

If the resultant torque of all the forces acting on a body is zero about a point, is it necessary that it will be zero about any other point?

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Answer

No, it is not necessary that the torque about any other point be zero if it is zero about one point.
Let $\overrightarrow{\text{F}}$be the resultant force due to all the forces acting on the plane of the body.
Therefore, torque due to force $\overrightarrow{\text{F}}$ at any point will be the resultant torque.
Now, we see that the torque due to $\overrightarrow{\text{F}}$ at point Q will be zero because Q lies on the line of support of the force F but the torque due to force $\overrightarrow{\text{F}}$ will not be zero along the point P.

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