Imagine a body which is allowed to rotated around its centre of gravity. I place a rotating moment, $M_d$ on a point which is a distance d from the body's centre. $M_d$ is only required to put the body in motion, i.e. overcome the friction and intertia required for the body to start rotating around its centre of gravity. Compare this moment to a moment $M_0$ located at the centre of gravity. Same conditions apply for $M_0$, it only has initiate rotation. Is $M_0 = M_d$? Or is one bigger than the other?
Theoreticaly they should be the same but intuitively when compared to screwing a screw, it is easier to screw the screw if you apply the moment directly on the screw axis of rotation. Could someone please explain if there is a theoretical difference or if it is only my intuition which is wrong.