I was studying about centre of mass and I found that if the line of action of force passes through centre of mass then it will execute pure translation. Moreover acceleration of centre of mass is net force applied on the body divided by the total mass of the body and my textbook says that its valid for all points on the body where the force is applied. I can't get this as when the line of action of force will not pass through centre of mass then body must also rotate and i think the acceleration(translational) of centre of mass must change (due to rotation of body). Assume that the body is rigid. Any help is appreciated.
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