The density of a rod AB continuously increases from A to B. Is it easier to set it in rotation by clamping it at A and applying a perpendicular force at B or by clamping it at B and applying the force at A?
When there is no constrains attached, the whole mass is concentrated at the center of mass of the rod which is more towards B as the mass concentration is higher.
From the diagram,
Now, moment of inertia,
So, the first one is easier to rotate.