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Karnataka Board PUCPUC Science Class 11

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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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?

Answer in Brief
Short/Brief Note
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Solution

No, it is not necessary that the torque about any other point be zero if it is zero about one point.

Let \[\overrightarrow{F}\] be the resultant force due to all the forces acting on the plane of the body. Therefore, torque due to force \vec{F} at any point will be the resultant torque . Now, we see that the torque due to \[\overrightarrow{F}\] at point Q will be zero because Q lies on the line of support of the force F but the torque due to force \[\overrightarrow{F}\] will not be zero along the point P.

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Chapter 10: Rotational Mechanics - Short Answers [Page 192]

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HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 10 Rotational Mechanics
Short Answers | Q 12 | Page 192

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