When an object is rotating on an axis, it has stored rotational energy in it. Since energy and mass are related, does this stored rotation increase the mass of the object? And if so, will it be harder to move the rotating object in a linear direction than when it is not rotating? Does the rotating object have more inertia? Is there more force required when you push in a linear direction to make it go to the same speed as with a non-rotating object? With pushing and linear direction I mean causing a translational motion. And furthermore, does the rotating object have a stronger gravitational pull?
Thanks for reading.