Trying to reconcile the real world observation with first principles, here is a problem I came across.
Consider a ball initially rotating with axis parallel to the floor lowered gently onto a rough floor. Now obviously the angular velocity decreases linearly as a torque from friction is being applied along the circumference of rotation.
But from observation, the velocity also increases linearly. The force of friction seems to linearly affect the ball as well. How is this possible? Why is the force of friction affecting the center of mass?
This is a force at a distance that affects the center of mass, apparently. Thought experiment: Apply a force to the bottom of the ball in outer-space. Will the ball just rotate or move forward?
How is the same or different as the case previously discussed?