1. The problem statement, all variables and given/known data A perpendicular force F acts on the tip of a thin rod of length L and mass M in the ij-plane which is not fixed. What is the translational and rotational acceleration of the rod about the center of the rod? 2. Relevant equations At first it seems like an easy problem. a-linear = F/m (NSL, system : the rod) t == r X F == rFsin 90 k == rF k so a-rot == t/I == rf/I k 3. The attempt at a solution The equations are easy to solve but that's not what I'm having trouble with. I don't know if NSL for linear acceleration is valid if the force doesn't act on the Center of Mass. If it is valid, that means that if F acted on the center, there would be only linear acceleration, but if F acted on the tip, there would be the same linear acceleration in addition to rotational acceleration. Thus the force, if applied for a short distance, does more work when it is on the tip then when it is on the center. This is unintuitive.