when applying a force not on the center of mass of the body, the body will get both linear and angular mumentom (right?). does the linear velocety from this force (that is applied not on the center of mass) equal to the linear velocety from the same force applied on the center of mass exactlly? if it does, how is it that the energy applied to the system is equal in both cases, but in one we have both rotation and linear movement, and in the other just linear movement (but at the same speed). thnx

When applying a force outside of the center of mass of the body, the body will get both linear and angular momentum. Right?

Does the linear velocity from this force equal to the linear velocity from the same force, which is applied on the center of mass?

$$v_{\text{center}} = v_{\text{non-center}}\quad\text{? (no vectors)}$$

If it does: How is it that the energy applied to the system is equal? In one we have both rotation and linear movement, and in the other just linear movement.