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A reference frame is a particular coordinate system chosen to represent physical entities. The notion is most often used in special and general relativity to denote particular coordinates chosen on the spacetime manifold.
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Why does a body not rotate if force is applied on the centre of mass?
The definition of centre of mass on Wikipedia is given as
This is the point to which a force may be applied to cause a linear acceleration without an angular acceleration.
How can I prove that such …
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Why is torque measured about the centre of mass? [duplicate]
The original question I was asking was Why does a body not rotate if force is applied on the centre of mass?.
The obvious answer is that the torque ${\bf r}\times{\bf F}$ is zero as ${\bf f}$ is zero …