A single force and coplanar couple together acting on a rigid body are equivalent to

a couple

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a single force equal to the given force and in any direction

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a single force equal and parallel to the given force

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none of these

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Solution

The correct option is D a single force equal and parallel to the given force
A coplanar couple can be resolved as a parallel force at some distance. Thus a force and a coplanar couple will become a single force parallel to the original force.

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A force of $6 k g . w t$ and $8 k g . w t$ can be applied together to produce the effect of a single force of:

List 1	List 2
A single force through centre of mass	Rotational motion
Equal and opposite forces separated by non-zero distance	Translational motion
Equal and opposite forces acting at the same point	No motion
A single force not through centre of mass	Centre of mass performs curvilinear motion

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