If a force is applied to an object, will the object always experience the same linear momentum change regardless of where the force is applied, or will applying the force away from the objects centre of mass cause lesser linear momentum to develop but with the addition of angular momentum?(adsbygoogle = window.adsbygoogle || []).push({});

For example, a non-accelerating rod in space, applying a force of the same magnitude to its COM compared to applying it perpendicularly to one of its ends.

Will both produce the same magnitude of linear momentum with the second case causing angular momentum in addition to the linear momentum?

Or, will the second case see a smaller magnitude of linear momentum plus angular momentum with the total momentum being the same as the first case?

Or, something else I didn't predict?

The background to the question is a conversation about accelerated running and the correction of angular momentum of the runner (the rod in space is just an easy to discuss example), in case anyone is interested.

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# Newton's second law with linear and angular momentum

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